Question

A cylinder labeled X has a height of 18 inches and a radius of 21 inches. Another cylinder labeled Y has a height of 90 inches and a radius of 105 inches.

The volume of cylinder Y is _______ times the volume of cylinder X.

Answer 1

Is the answer 125?

Answer 2

\[V_2=kV_1\]
\[2\pi (105^2) (90)=k(2\pi(21^2)(18))\]
\[(21^2)(18)=k(105^2)(90)\]
\[992250=7938k\]
\[\frac{992250}{7938}=k\]

125

Answer 3

Thanks!