Solve the Problem $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$

Multiple Choice

Solve the problem.
-The radius of a right circular cone is given by the formula $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$ , where $\mathrm { V }$ is the volume and $\mathrm { h }$ is the height. If the volume is 946 cubic inches and the height is 4 inches, what is the radius? Use $3.14$ for $\pi$ , and round your answer to the nearest tenth of an inch.

A) $15 \mathrm { in }$ .
B) $8.7 \mathrm { in }$ .
C) $0.1$ in.
D) $15.7 \mathrm { in }$ .