SOLUTION: A round water tank similar to the one above measures 24 inches in diameter and is 18 inches high. If water weights 62.4 lbs/ft3, what is the weight of the water filling the tank i

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Question 1093973: A round water tank similar to the one above measures 24 inches in diameter and is 18 inches high. If water weights 62.4 lbs/ft3, what is the weight of the water filling the tank in pounds?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!





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The inch and foot conversion ratio can be avoided if you recognize 24 inches is 2 feet and 18 inches is 1.5 feet.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

A round water tank similar to the one above measures 24 inches in diameter and is 18 inches high. If water weights 62.4 lbs/ft3, what is the weight of the water filling the tank in pounds?
The tank is a cylinder

Volume of a cylinder: pi+%2A+r%5E2+%2A+h

Diameter = 24 inches, or 2 feet, and radius = 1 foot

Height   = 18 inches, or matrix%281%2C4%2C+1%261%2F2%2C+or%2C+1.5%2C+feet%29

Volume of cylinder: matrix%281%2C4%2C+pi+%2A+1%5E2+%2A+1.5%2C+%22=%22%2C+1.5pi%2C+feet%5E3%29 ------- Substituting values, in feet

Weight of water when tank is full: