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How do you find the volume of a quarter of a cylinder?

Updated: 4/28/2022
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Peacepinkgymnast

Lvl 1
8y ago

Best Answer

First find the volume of the cylinder:

Area * Height = pi*r^2*h

pi = 3.1415...

r=radius

h=height

then divide that total volume by 4, because you're only looking for 1/4 quarter of the total area.
Well first, you need to find the radius of the base. Say, the radius of the base is 3. Next, we are going to do radius squared. (r x r) (3 x 3) In this case, r squared is 9.

Then, you are going to do 9 x 3.14 (the value of pi) which is 28.26.

Now, you will multiply 28.26 by whatever the height is of the cylinder. Let's say it's 6. So multiply 28.26 by 6 and you get 169.56. This is the volume of the entire cylinder.

But since you want the volume of a quarter, well a quarter is one fourth. So we will divide the volume of the entire cylinder and diving it by 4. 169.56 divided by 4 is equal to 42.39.

Now we know, 42.39 is the volume of a quarter of a cylinder!

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Anonymous

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3y ago

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Q: How do you find the volume of a quarter of a cylinder?
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