A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 5 ft, the length is 16 ft, and the top of the tank is 10 feet under the ground. Assume the tank is full and all of the gasoline will be pumped to the surface of the ground. The density of gasoline is 42 lb/ ft ³ .

(a) Consider a slice of gasoline that is Δy ft thick and located y ft above the center of the cylinder. Use Delta or the CalcPad for Δ. Leave π in your answer.

Volume of slice = 32√(25−y ² )   Δy  ft ³

Displacement of slice = ????? ft

(b) Find the endpoints of the integral needed to find the exact work required to pump all the gasoline to the surface of the ground.

Lower endpoint = −5

Upper endpoint = ?????