Aspherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. at what rate is the volume of the snowball decreasing when the radius is 8 cm. (note the answer is a positive number).

80.384 cubic cm /min

Explanation:

Let V denote the volume and r denotes the radius of the spherical snowball .

Given :

We know that the volume of a sphere is given by :-

Differentiating on the both sides w.r.t. t (time) ,w e get

When r= 8 cm

Hence, the volume of the snowball decreasing at the rate of 80.384 cubic cm /min.

i believe the answer is a

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