ISEE Word Problems Question 297: Answer and Explanation

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Question: 297

16. The height of the cone shown is 3 times its radius. The formula used to find the volume of a cone is V = r2hπ, where r is the radius of the cone and h is the height of the cone.

If the diameter of the cone is 4 cm, what is the volume of the cone in centimeters2?

  • A. 8π
  • B. 24π
  • C. 32π
  • D. 48π

Correct Answer: A

Explanation:

A

As the diameter is 4, the radius is 2. The height—three times the radius—is 6. Substitute these numbers into the given formula: π(22)(6) = π(4)(6) = 8π.

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