Solve the Problem $r = \sqrt [ 3 ] { \frac { 3 V } { 4 \pi } }$

question 192

Multiple Choice

Solve the problem.
-The equation $r = \sqrt [ 3 ] { \frac { 3 V } { 4 \pi } }$ gives the radius $r$ of a sphere of volume $V$ . If the radius of a sphere is 6 in., find the exact volume.

• A) \(96 \pi \mathrm { in. } ^ { 3 }\)
• B) \(288 \pi \mathrm { in } ^ { 3 }\)
• C) \(144 \pi\) in. \(^ { 3 }\)
• D) \(\sqrt [ 3 ] { \frac { 9 } { 2 \pi } }\) in. \({ } ^ { 3 }\)

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