ISEE Word Problems Question 214: Answer and Explanation

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Question: 214

2. The surface area of a right circular cylinder is represented by SA = 2πr2 + 2πrh, where r is the radius of the cylinder and h is its height. If the surface area of a right circular cylinder is 36π and its radius is 3, what is its height?

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Correct Answer: B

Explanation:

The answer is B

Using the given formula, surface area, and radius, set up an equation to solve for the height: 36π = 2π(3)2 + 2π(3)(h) = 18π + 6πh. Subtract 18π from both sides: 18π = 6πh. Divide both sides by 6π: h = 3.

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