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#16100

geometry

cylinders

hard

150 sec

A right circular cylinder has radius $r$ and height $h$ . A second right circular cylinder has a volume that is 400 times the volume of the first. Which of the following could represent the radius $R$ and height $H$ of the second cylinder in terms of $r$ and $h$ ?

A.

$R = 5 r$ and $H = 16 h$

B.

$R = 8 r$ and $H = 5 h$

C.

$R = 4 r$ and $H = 50 h$

D.

$R = 5 r$ and $H = 8 h$