Question

The radius r of a sphere is increasing at a constant rate of 0.04 centimeters per second.At the time when the radius of the sphere is 10 centimeters, what is the rate of increase of its volume?

Answer 1

V=4/3 ×π ×r^3

dv/dt=4/3×π×3×r^2 dr/dt

=4×π×(10)^2×0.04