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Aqua water company posted a new water tank. The tank is a cylinder with a diameter of 14 feet and a height of 24. What is the volume of the tank in cubic feet?

a) 2,904 cubic feet
b) 1,232 cubic feet
c) 4,256 cubic feet
d) 5,808 cubic feet

User Marite
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1 Answer

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Final answer:

The volume of the water tank is calculated using the formula V = πr^2h. With the given dimensions, the volume is 3,691.41664 cubic feet, which does not match any of the options provided, indicating a discrepancy in the question or the answer choices.

Step-by-step explanation:

To calculate the volume of a cylinder, you need to use the formula V = πr^2h, where V is the volume, r is the radius of the base, h is the height, and π (pi) is approximately 3.14159. For the Aqua water company's water tank with a diameter of 14 feet, the radius (r) would be 7 feet (since the radius is half of the diameter). The height (h) of the tank is given as 24 feet.

Using the formula, we calculate the volume as follows:
V = π * (7 feet)^2 * 24 feet
V = 3.14159 * 49 ft^2 * 24 ft
V = 3.14159 * 1,176 ft^2
V = 3,691.41664 cubic feet

Upon evaluating the available options, none of them matches the calculated volume, indicating a possible error in the question or the options provided.

User BoobyTrap
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