The radius of a sphere is increasing at a rate of 5 mm/s. how fast is the volume increasing when the diameter is 60 mm? evaluate your answer numerically. (round the answer to the nearest whole number.)

The rate of change of volume of the sphere is .

According to the question, the radius of a sphere is increasing at a rate of and the diameter is .

The volume of the sphere is, where, is the radius of the sphere.

Differentiate the volume of the sphere both sides with respect to as-

The radius of the sphere is-

Substitute the value of the parameter as-

Hence, the rate of change of volume of the sphere is .

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