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

question 323

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 1997 cubic inches and the height is 17 inches, what is the radius? Use $3.14$ for $\pi$ , and round your answer to the nearest tenth of an inch.

• A) \(6.1\) in.
• B) \(0.1 \mathrm { in }\).
• C) \(11.1 \mathrm { in } .\)
• D) \(10.6 \mathrm { in }\).

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