Solve the Problem $13 \mathrm { ft }$ , with the Center of the Tank

question 137

Multiple Choice

Solve the problem.
-A spherical tank of water has a radius of $13 \mathrm { ft }$ , with the center of the tank $50 \mathrm { ft }$ above the ground. How much work will it take to fill the tank by pumping water up from ground level? Assume the water weighs $62.4 \mathrm { lb } / \mathrm { ft } 3$ . Give your answer to the nearest $\mathrm { ft } \cdot \mathrm { lb }$ .

• A) 14,356,324 ft · lb
• B) 35,890,811 ft · lb
• C) 28,712,649 ft · lb
• D) 9,139,520 ft · lb

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Definitions:

Congestive Heart Failure

A condition in which the heart is unable to pump blood effectively, leading to congestion of blood in the organs.

Left-sided Heart Failure

A condition where the left side of the heart is unable to pump blood efficiently, leading to a buildup of fluid in the lungs.

Atherosclerosis

A condition characterized by the hardening and narrowing of the arteries due to the build-up of plaque on the artery walls, which can lead to cardiovascular diseases.

Fatty Substances

Lipids that are found in blood and body tissues, involved in various bodily functions.