Mathematics

Problem

For a sphere, the radius is given by

r(t)=4t^{2}+1

, where

t

is measured in seconds and

r

in centimeters. What is

\dfrac{dV}{dt}

t=2\text{ s}

, where

V

is the sphere’s volume? a)

1\,156\pi\text{ cm}^{3}/\text{s}

4\,624\pi\text{ cm}^{3}/\text{s}

18\,496\pi\text{ cm}^{3}/\text{s}

5\,184\pi\text{ cm}^{3}/\text{s}