The radius r of a sphere is increasing at a rate of 9 inches per minute.Find the rate of change of the volume when r = 11 inches. A) in³/min B) in³/min C) in³/min D) in³/min E) in³/min

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Quizplus · Accepted Answer

The volume of a sphere is given by V = (4/3)πr^3, and we want to find dV/dt when r = 11 and dr/dt = 9. Taking the derivative of the volume formula with respect to time, we get: dV/dt = 4πr^2 (dr/dt) Plugging in r = 11 and dr/dt = 9, we get: dV/dt = 4π(11)^2(9) = 4356π Rounding to the nearest integer and converting to the required format, we get: 11eac44f_ed80_9a21_bedf_fd46c0fc7a27_TB7497_11 in³/min

The Radius R of a Sphere Is Increasing at a Rate