The Radius of a Right Circular Cone Is Increasing at a Rate

question 21

Multiple Choice

The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s. At what rate is the volume of the cone changing when the radius is $108$ in. and the height is $132$ in.?

• A) \(108316.24 \mathrm { in } ^ { 3 } / \mathrm { s }\)
• B) \(105316.24 \mathrm { in } ^ { 3 } / \mathrm { s }\)
• C) \(111316.24 \mathrm { in } ^ { 3 } / \mathrm { s }\)
• D) \(102316.24 \mathrm { in } ^ { 3 } / \mathrm { s }\)
• E) \(99316.24 \mathrm { in } ^ { 3 } / \mathrm { s }\)

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