A right circular cylinder has a radius of 8 and a height of pie squared. If a cube has the same volume as the cylinder, what is the length of an edge of the cube?

Question

anonymous · Answer

first, what is the volume of the cylinder?

anonymous · Answer

the volume of the cylinder is $\large V=\pi\cdot r^2\cdot h $, where r is the radius and h is the height...

anonymous · Answer

yes. and the formula of a c is v=a^3

anonymous · Answer

the radius is 8 and h is pie squared. So the formula is :

anonymous · Answer

ok... so what's the volume of the cylinder with the given dimensions?

anonymous · Answer

$$V=\pi(8)^{2}(\pi)^{2}$$

anonymous · Answer

So it becomes $$V=64(\pi)^{3}$$ right?

anonymous · Answer

P.S. answer choices are given 

(A) $$4\sqrt{\pi}$$
(B)$$8\sqrt{\pi}$$
(C) $$4\pi \sqrt{\pi}$$
(D) 4pie
(E) 8pie

anonymous · Answer

correct... so now with your formula for the volume of a cube, 
$\large s^3=64\pi^3 $
you'll need to  solve for s....

anonymous · Answer

okay

anonymous · Answer

so how do I exactly do that?

anonymous · Answer

@dpaInc

anonymous · Answer

got the answer. It's 4pi, D