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