A spherical balloon has radius centimeters at time seconds after inflation begins

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A spherical balloon has radius

r(t)=0.2t^{2}+1

centimeters at time

t

seconds after inflation begins. Determine the time

t

(to the nearest tenth of a second) at which the volume of the balloon is increasing at a rate of

100\text{ cm}^3/\text{s}