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How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?

7. How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
A. 2,260.8 cubic feet
B. 54,259.20 cubic feet
C. 33,912 cubic feet
D. 13,564.8 cubic feet

Answer

Answer: The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

  1. Radius (r) = 12 feet
  2. Height (h) = 30 feet
  3. Volume (V) = π × (12)² × 30 = π × 144 × 30 = 4,320π cubic feet
  4. Using π ≈ 3.14159, V ≈ 4,320 × 3.14159 ≈ 13,564.8 cubic feet

Therefore, the correct answer is D. 13,564.8 cubic feet.

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