ISEE Word Problems Question 210: Answer and Explanation

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Question: 210

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

If the height of the cylinder is 2 cm, what is its volume, in cm³?

A. 12π
B. 18π
C. 24π
D. 72π

Correct Answer: B

Explanation:

The answer is B

As the formula for the volume of a cylinder and the height are given, you need to find the radius. The diameter is three times the height, 2 × 3 = 6. Therefore, the radius is 3. Plug r = 3 and h = 2 into the given formula: V = π(3)²(2) = 18π.

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