Question

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest tenth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answer 1

The volume of a cylinder with respect to its diameter is:

V=(hπd^2)/4, and we are told that the height is 3r, r=d/2, so 3r=3d/2=h

V=(3d/2)(πd^2)/4

V=(3πd^3)/8, we know d=10 so

V=3000π/8

V=375π in^3, lastly we are told to approximate π≈3.14 so

V≈375(3.14) in^3

V≈1177.5 in^3