A tank is full of oil weighing 30 lb/ft3. The tank is an inverted right rectangular pyramid (with the base at the top) with a width of 1 feet, a depth of 1 feet, and a height of 2 feet. Find the work required to pump the water to a height of 3 feet above the top of the tank.

Question

Mays

Mathematics

25 July, 04:39

A tank is full of oil weighing 30 lb/ft3. The tank is an inverted right rectangular pyramid (with the base at the top) with a width of 1 feet, a depth of 1 feet, and a height of 2 feet. Find the work required to pump the water to a height of 3 feet above the top of the tank.

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Skyler Huffman · Answer 1

Step-by-step explanation:

density of oil, d = 30 lb/ft³

Volume of tank, V = l x w x h = 1 x 2 x 1 = 2 ft³

mass of oil, m = Volume x density of oil = 1 x 30 = 30 lb

Work = m x g x h = 30 x 32 x 3 = 2880 units