ISEE Word Problems Question 211: Answer and Explanation

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Question: 211

4. The formula for the volume of a sphere is V = πr3, where r is the radius of the sphere. A sphere has a volume of 36π. What is the radius of this sphere?

  • A.
  • B. 3
  • C. 4
  • D. 6

Correct Answer: B

Explanation:

The answer is B

As the formula for the volume of a sphere and the sphere's volume are given, you can write an equation to solve for the radius: 36π = π(r)3. First, divide both sides by π: 36 = (r)3. Next, divide both sides by , which means multiplying both sides by the reciprocal: (36) = 27 = (r)3. The cube root of 27 is 3.

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