Question

a spherical snowball is melting in such a way that it maintains its shape. the snowball is decreasing in volume at a constant rate of 8 cubic centimeters per hour. at what rate, in centimeters per hour, is the radius of the snowball decreasing at the instant when the radius is 10 centimeters? (the volume of a sphere of radius r is v

Answer 1

`(2)/(75\pi)`

Explanation:

`V=(4)/(3) \pi r^3 \\ \\ (dV)/(dt)=3\pi r^2 (dr)/(dt) \\ \\ -8=3\pi (10)^2 (dr)/(dt) \\ \\ (dr)/(dt)=-(2)/(75\pi)`