A large rainwater collection tub is shaped like a cylinder. The diameter is 28 inches and the height is 40 inches. If the tub is 75% filled, what is the volume of water in the tub? Round to the nearest tenth.

volume of water in the tub = 1320 inches cube

Step-by-step explanation:

The large rainwater collection tub is shaped like a cylinder. The diameter is 28 inches and the height is 40 inches.

volume of cylinder = πr²h

where

r = radius

h = height

r = diameter/2 = 28/2 = 14 inches

h = 40 inches

v = πr²h

v = 22/7 * 14 * 40

v = 12320/7

v = 1760 inches³

Volume of the large rain collector = 1760 inches³

The tub is 75 % filled. The volume of water in the tub can be computed below:

volume of water in the tub = 75/100 * 1760

volume of water in the tub = 132000 / 100

volume of water in the tub = 1320 inches cube