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

question 118

Multiple Choice

Solve the problem.
-For a cone, the formula $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$ describes the relationship between the radius $\mathrm { r }$ of the base, the volume $V$ , and the height $\mathrm { h }$ . Find the volume if the radius is 3 inches and the cone is 4 inches high. (Use $3.14$ as an approximation for $\pi$ , and round to the nearest tenth.)

• A) \(37.7\) cubic in.
• B) \(9.4\) cubic in.
• C) \(12.6\) cubic in.
• D) \(339.1\) cubic in.

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