A right circular cylinder has a radius of 8 and a height of $\pi ^{2}$. If a cube has the same volume as the cylinder, what is the length of an edge of the cube?

Question

anonymous · Answer

$$vol cyl.=\pi(r)^2h=\pi(8)^2(\pi^2)=64 \pi^3=L^3...so.... L=4\pi$$

anonymous · Answer

volume of cylinder = $$\Pi \times 8^{2} \times \Pi ^{2}$$

volme of cube = $$l \times l \times l = l ^{3}$$

therefore $$l ^{3} = 64\Pi ^{3}$$

$$l = \sqrt[3]{64\Pi ^{3}} = 4$$

anonymous · Answer

*l = 4 pi

inowalst · Answer

@tkhunny

tkhunny · Answer

Is there still a question?  Excepting typos, both solutions look fine.

inowalst · Answer

Yes. I just dont understand it, so I was wondering if you could help me..

tkhunny · Answer

Volume of Right Circular cone is what?  Given radius and height measurements...
Volume of Cube is what?  Given edge measurement...

Both examples, above, show this pretty clearly.

The ONLY difficulty I see with this problem is that the height is given in terms of $\pi$.  Try not to let that bother you.  Just go with it.

inowalst · Answer

Okay.