A cylindrical tank with diameter 30 ft is filled with gasoline to a depth of 60ft. The gasoline begins draining at a constant rate of 5 cubic feet per sec. Write the volume of gasoline remaining in the tank t seconds after the tank begins draining as a function of t.

Question

anonymous · Answer

Okay, so we start with a volume of gasoline that can be represented as the volume of a cylinder with diameter 30ft and height 60ft. If diameter is 30ft then the area of the base is 225$\pi$ square feet, multiply by the height to get total volume of $13,500\pi$ cubic feet. Then it's draining at 5 cubic feet per second, so the final expression is $13,500\pi-5t$ cubic feet. Yeah?

anonymous · Answer

I think that would be right