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I’m supposed to put theses least to greatest according to their volumes

I’m supposed to put theses least to greatest according to their volumes-example-1
User AlexYes
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1 Answer

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The volume formula of a cylinder is :


V=\pi r^2h

The volume formula of a cone is :


V=(1)/(3)\pi r^2h

From the problem, the heights are constant or the same.

So we can let h = 1 and compare the volumes.

a. Cylinder with r = 6 and h = 1


V=\pi(6)^2(1)=36\pi

b. Cone with r = 6 and h = 1


V=(1)/(3)\pi(6)^2(1)=12\pi

c. Cone with r = 3 and h = 1


V=(1)/(3)\pi(3)^2(1)=3\pi

d. Cylinder with r = 3 and h = 1


V=\pi(3)^2(1)=9\pi

Comparing the volumes from least to greatest :


3\pi<9\pi<12\pi<36\pi

or c, d, b then a.

ANSWER :

C, D, B then A

User Slmyers
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