Chapter 4.5, Problem 251E

The volume of a right circular cylinder is given by V(x. y) = $\pi x^{2}y$ where x is the radius of the cylinder and y is the cylinder height. Suppose x and y are functions of i given by $x=\frac{1}{2}t$ and $y=\frac{1}{3}t$ so that .t and are both increasing with time. How fast is the volume increasing when x = 2 and y = 5?