Problema Solution

a new cylindrical hydrocarbon storage tank,has a diameter of 100 feet and is 30 feet tall. calculate the volume of the tank's contents if it is filled to 90% of it's capacity.

Answer provided by our tutors

let


d = 100 ft the diameter of the cylinder


h = 30 ft the height


V = the volume of the cylinder


We need to find 90% of V


V = (d/2)^2 * pi * h


V = (100/2)^2 * pi * 30


V = 75,000 pi


90% of V is:


0.90*V = 0.90*75000*pi = 67,500 pi ft^3 = 211,950 ft^3