Q:

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly given V(r) = 0.07πr^2, where r is the radius of the slick in feet. In turn, the radius is increasing over time according to the function r(t) = 0.4t, where t is measured in minutes.1) find (V of r)(t) and simply it

Accepted Solution

A:
Answer:   V(t) = 0.0112πt^2Step-by-step explanation:Substitute the expression for r and combine factors.   V(r(t)) = 0.07π(0.4t)^2   V(t) = 0.0112πt^2