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.