The figure shown is a right circular cylinder with a radius of r and …

Question

Prompt

The figure shown is a right circular cylinder with a radius of r and height of h. A second right circular cylinder (not shown) has a volume that is 576 times as large as the volume of the cylinder shown. Which of the following could represent the radius R, in terms of r, and the height H, in terms of h, of the second cylinder?

R = 9 r

and

H = 8 h

R = 9 r

and

H = 64 h

R = 8 r

and

H = 9 h

R = 64 r

and

H = 9 h