SSAT Math Question 311: Answer and Explanation
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Question: 311
5. If the volume of a right circular cone is given by V = 
πr2h, where r is the radius of the cone and h is the height of the cone, what is h in terms of r and V?
- A.
- B.
- C.
- D.
Correct Answer: C
Explanation:
The answer is C
To isolate h, write the equation and multiply both sides by 3: 3V = πr2h. Next divide both sides by π and r2: 
= h.
Plug in values for r and h, such as r = 3 and h = 2, and solve for V: V = π(3)2(2) = π(9)(2) = 6π. Only choice (C) yields h = 2 when the values for r and V are plugged in.