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#16101

geometry

volume

cylinders

hard

150 sec

The volume of a right circular cylinder with radius $r$ and height $h$ is $V$ . A second such cylinder has volume $512 V$ . Which of the following pairs $(R, H)$ in terms of $(r, h)$ achieves this?

A.

$R = 4 r$ and $H = 64 h$

B.

$R = 16 r$ and $H = h$

C.

$R = 8 r$ and $H = 8 h$

D.

$R = 2 r$ and $H = 120 h$