1. An open water tank has the shape of a right circular cone. Suppose the diameter at the top of the cone is 10 feet and the height of the cone is 6 feet. The tank is completely full of water. Set up the integral (you do not need to integrate) representing how much work it takes to drain half of the water volume out of the the tank, through the bottom (or the tip) of the cone. Use that water weights 62.4 pounds per cubic foot. Hint: The upper bound of your integral is not 3.

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1. An open water tank has the shape of a right circular cone. Suppose the diameter at the top of the cone is 10 feet and the height of the cone is 6 feet. The tank is
completely full of water. Set up the integral (you do not need to integrate) representing how much work it takes to drain half of the water volume out of the the tank,
through the bottom (or the tip) of the cone. Use that water weights 62.4 pounds per cubic foot. Hint: The upper bound of your integral is not 3.
Transcribed Image Text:1. An open water tank has the shape of a right circular cone. Suppose the diameter at the top of the cone is 10 feet and the height of the cone is 6 feet. The tank is completely full of water. Set up the integral (you do not need to integrate) representing how much work it takes to drain half of the water volume out of the the tank, through the bottom (or the tip) of the cone. Use that water weights 62.4 pounds per cubic foot. Hint: The upper bound of your integral is not 3.
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