What is the volume of a cylinder with a base radius of 7in. and a height of 12in?

Answers

Answer 1

Answer:

1847.26 cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = Ah

Where V is the volume of the cylinder, A is the area of the base, and h is the height of the cylinder. The area of the base can be shown as the formula for the area of a circle:

A = πr²

Where r is the radius of the circle.

Now, find the area of the base of the cylinder:

A = π(7)²

A = 153.93804

Next, plug this value into the equation for volume, substituting h for the height of the cylinder; 12 inches.

V = 153.93804(12)

V = 1847.26

Volume is given in cubic units, and the units for this cylinder are inches, so this cylinder has the following volume:

1847.26 cubic inches


Related Questions

The function r(n) = 5n² + 1 represents the value of the nth term in a sequence.
What is the sum of the 1st and 3rd terms of the sequence?

Answers

Step-by-step explanation:

a_n=5n²+1

➜a_1=5(1)²+1

➜5×1+1

➜5+1

➜6

➜a_3=5(3)²+1

➜5×9+1

➜45+1

➜46

Write a sentence in which the relative frequency of the letter E (or e) is exactly 10%.

Answers

Answer:

I'd try to do that, but it cannot be done.

Step-by-step explanation:

The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%

Marco is reconstructing his expenses for the past two weeks. Here are the records of his expenses:

Transaction
Cost ($)
T-shirt
20
Gas
22
Movie
13
Video game
39
Jeans
34
Hat
15
Books
31

Marco’s bank statement says that he has an ending balance of $81. What is Marco’s starting balance?

Answers

Answer:

255 - A

Step-by-step explanation:

81+31+15+34+39+13+22+20=255

HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP

Answers

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

----------------------------------------------------------------------------------------------------------------

Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

----------------------------------------------------------------------------------------------------------------

2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!


Logan inherited $8,000 from his grandmother. He split the money and placed the amounts in the two accounts below. Find the total amount of money he will have in the accounts combined after 5 years. x Account A: earns 7% interest compounded quarterly x Account B: earns 5.5% interest compounded annually

Answers

Answer:

What i got was 3000 please mark wrong if it not right

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEE!

Answers

Answer: go

Step-by-step explanation:

Find the Difference: 0.325-0.01

Answers

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

Sonia has a hat collection. The ratio of white hats to
blue hats in her hat collection is 10:9. Which ratio is
equivalent to 10:9?

Answers

Answer:

20:18 30:27 40:36 etc..

Step-by-step explanation:

To find equivalent ratios you multiply both 10 and 9 by the same number to find equivalent ratios.

Which statement accurately describes the economic characteristics of modern
Texas?


A. Texas has one of the strongest and most diverse economies in the country.

B. Texas has a fairly strong economy, but growth has slowed since 2004.

C. Texas has a stable economy, but lacks industrial diversity.

D. Texas has a strong oil industry, but all other sectors have struggled recently.

Answers

Answer:

D

Step-by-step explanation:

sorry if incorrect

Answer:

The answer is A. Texas has one of the strongest and most diverse economies in the country.

Step-by-step explanation:

Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.

There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Write a number sentence that represents the problem.

Answers

Answer:

0.3

Step-by-step explanation:

yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

0.3

Step-by-step explanation:

djdjwinqwp9dejnedm

which model represents the expression

Answers

It is B I know because I did this a while ago

Answer:

C, there are 4 groups of 5/12 on the numberline. They are jumping 4 times whilst each of those jumps are 5/12.

one side of a triangle is 50 and the other side is 120 what is the length of the third side?
this is exterior angle theorem.

Answers

I think it 10

Hope that helps

Nico practiced drums 1.5 fewer hours than he practiced piano. If Nico practiced the piano for 4 hours, how many hours did Nico practice the drums

Answers

Answer:

2.5 hours

Step-by-step explanation:

4 - 1.5 = 2.5

You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.

Which expressions represent rational numbers? Check all that apply.

Answers

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

Noah wrote the expression 10m - 2c to represent the following scenario.
A bakery sells muffins for $2 each and cakes for $10 each. Write an expression that gives the amount of money, in
dollars, the bakery makes from selling m muffins and c cakes.
Explain why Noah's expression is incorrect. Provide the correct expression that represents the scenario.

Answers

Answer:

Noah's expression is wrong because he used the wrong coefficients for the variables, and he used a subtraction sign instead of an addition sign.

The correct expression is 2m + 10c

Step-by-step explanation:

Noah is incorrect because he used the wrong coefficients for both of the variables in the expression.

Since muffins are $2 each, and m is the number of muffins, the amount of money made from the muffins is 2m, not 10m.

Similarly, since cakes are $10 each, and c is the number of cakes, the amount of money made from the cakes is 10c, not 2c.

Noah is also incorrect because he used a subtraction sign instead of an addition sign. The amounts made from the muffins and cakes have to be added together.

Putting all of this together, the correct expression is 2m + 10c.

Find the missing lengths of the leg AND the hypotenuse in simpilest radical form.

Answers

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratios

Which ordered pair is a solution of the equation? −7x+3y=2

Answers

answer:

(-2/7, 2/3)

step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)

Answer:

(-2/7,2/3)

Step-by-step explanation:

Let's solve for x.

−7x+3y=2

Step 1: Add -3y to both sides.

−7x+3y+−3y=2+−3y

−7x=−3y+2

Step 2: Divide both sides by -7.

−7x/ −7 = −3y+2/ −7

x= 3/ 7 y+ −2/ 7

Answer:

x= 3/ 7 y+ −2/ 7

Let's solve for y.

−7x+3y=2

Step 1: Add 7x to both sides.

−7x+3y+7x=2+7x

3y=7x+2

Step 2: Divide both sides by 3.

3y/ 3 = 7x+2/ 3

y= 7/ 3 x+ 2/ 3

Answer:

y= 7/ 3 x+ 2/ 3

Please help! I will give points for helpng.

Answers

i think 19 i pretty sure

Answer:

Should Be 19 students

Step-by-step explanation:

Carol measured her windows for new curtains. She measured the width to be 34 in when it was actually 36 inches. Which was carols approximate percent error in her window measurement .

A. 2.0%
B. 2.8%
C. 5.6%
D. 5.9%

Answers

Answer:5.9

Step-by-step explanation: Clarification from teacher

A 4-cup bottle of vegetable oil costs $2.88. What is the price per fluid Ounce?

Answers

4.163372 fl oz

Explanation:

HELP ME I will give brainliest to whoever is RIGhT

Answers

Answer:

B)

Step-by-step explanation:

Why is the average approaching 3.5?

Answers

Because since the mean of 1-6 is 3.5, it will eventually stabilize at that point.

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

PLEASE ANSWER PLZ PLZ

Answers

The answer is
A.) -2/5
Because x increases by positive two and y decrease by negative five

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

Find the area of the figure.

Answers

Answer:

The answer is 28.5

Step-by-step explanation:

Right triangle: 4.5

Top triangle: 6

Rectangle: 18

Your welcome :)

Question b quick 10 points

Answers

Me confused where’s question b????

9. The quotient of n and -4 is 5. What is the
value of n?

Answers

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?

Answers

The formula for a circle is:

(x-p)^2+(y-q)^2=r^2

The radius is given (r=6), as well as the centre of the circle (-2;3).

"p" and "q" represent the coordinates of the centre of the circle.

So it would look like this -

(x-p)^2+(y-q)^2=r^2

p=x-coordinate (-2)
q=y-coordinate (3)
r=6

(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36

***"^" means "to the power of"

Hope this helped~

Answer:

Solution given:

centre(h,k)=(-2,3)

radius(r)=6 units

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+2)²+(y-3)²=6²

(x+2)²+(y-3)²=36 is required equation of a circle.

Pls help fast will give brainliest

Answers

Answer:

y= -2x+ 5

Step-by-step explanation:

parallel with y= -2x+ 1 means the lines have the same slope m= -2

from point (-1, 7) we go with a slope of -2 until we find the y-intercept (0, 5)

y= mx+b is the general formula

y= -2x+ 5

Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers.

Answers

Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

= 67/10 × 1000

= 67 × 100

= 6700 meters

He'll travel 6700 meters to the museum.

Which of the following shows the quadratic formula correctly used to solve the
polynomial equation 3x^2 - 2 =11x

Answers

[tex]3{x}^{2} - 2 = 11x \\ + 11x \: \: \: \: \: \: + 11x \\ 3 {x}^{2} + 11x- 2 = 0 \\ quadratic \: formula \: goes \: fom \: this \: : a {x}^{2} + bx + c = 0 \\ to \: this : x = \frac{- b \ \frac{ + }{ \: } \: \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

so now you just plug in the numbers to their corresponding letter:

[tex]x = \frac{ - 11 \frac{ + }{ \: } \sqrt{ {11}^{2} - 4(3)( - 2)} }{2(3)} [/tex]

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What do you understand by personal hygiene? what do I say if I get asked at a school interview why do you think you deserve this role examples please!! And tips for being nervous Please help I have 15!!!!!!! 4 quarts= how many gallons Find the area of a semi-circle that has a radius of 8 cm.image A. 100.48 cm2 B. 200.96 cm2 C. 50.24 cm2 D. 25.12 cm2 Which sentence in this excerpt from "Common Sense" by Thomas Paine proposes that the American colonies should be neutral in their relationships with foreign nations?I challenge the warmest advocate for reconciliation, to shew, a single advantage that this continent can reap, by being connected with Great Britain. I repeat the challenge, not a single advantage is derived. (Our corn will fetch its price in any market in Europe, and our imported goods must be paid for, buy them where we will.)But the injuries and disadvantages we sustain by that connection, are without number; and our duty to mankind at large, as well as to ourselves, instruct us to renounce the alliance: Because, any submission to, or dependence on Great Britain, tends directly to involve this continent in European wars and quarrels; and sets us at variance with nations, who would otherwise seek our friendship, and against whom, we have neither anger nor complaint. (As Europe is our market for trade, we ought to form no partial connection with any part of it.) It is the true interest of America to steer clear of European contentions, which she never can do, while by her dependence on Britain, she is made the make-weight in the scale of British politics.Europe is too thickly planted with kingdoms to be long at peace, and whenever a war breaks out between England and any foreign power, the trade of America goes to ruin, BECAUSE OF HER CONNECTION WITH ENGLAND. (The next war may not turn out like the last, and should it not, the advocates for reconciliation now, will be wishing for separation then, because, neutrality in that case, would be a safer convoy than a man of war.) Every thing that is right or natural pleads for separation. The blood of the slain, the weeping voice of nature cries, 'TIS TIME TO PART. Even the distance at which the Almighty hath placed England and America, is a strong and natural proof, that the authority of the one, over the other, was never the design of Heaven. (The time likewise at which the continent was discovered, adds weight to the argument, and the manner in which it was peopled increases the force of it.) The reformation was preceded by the discovery of America, as if the Almighty graciously meant to open a sanctuary to the Persecuted in future years, when home should afford neither friendship nor safety. Question #5: You decided to paint one of the walls in the dining room the color blue. The shape of the wall is shown below. One gallon of paint covers 50 square feet. The wall will need two coats of paint. How many gallons of paint will you need to buy?Total area of the wall:Gallons of paint needed: Which is one positive [good thing that suddam Hussein did for Iraq? pls You have now watch two different versions of Shakespear's Tempest; one was a stage production and the other was a cinematic version. Please compare and contrast five elements/aspects/features of these two versions. he said,"the food is tasty." rewrite in reported speech Guys Ive been stuck on this question for an hour now can someone help me Can someone plz help its my final A 50% decrease followed by a 75% increaseSame as the original, less than, or greater than the original? Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+ 32 B (4 x 3)2 C (4 + 3)2 D 4 + 3 The table below describes an international organization:?founded in 1995meets every two yearsopposed to member nations heavily taxing importsWhich title completes the table?A Peace CorpsB The World Trade OrganizationC The North Atlantic Treaty Organization D The Red CrossTHE ANSWER IS B 5/8 + 3/4-2/3 - 5/6Help please 2). A student collects 425 L of oxygen at a temperature of 24.0C and a pressureof 0.899 atm. How many moles of oxygen did the student collect? What is the value of the expression -9 x 2.2? The __________________________ was established to help slaves transition to freedom help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee