9

Set 3: Area Volume (Advanced)

Explanation

Answer: C

PROBLEM

Recent studies show that a cone has radius 3 and height 12. What is its volume? (Express as a number times pi)

A cone has radius 3 and height 12. What is its volume? (Express as a number times pi)

A.

108pi

B.

36pi

C.

36pi

✓ Correct
D.

72pi

Detailed Explanation

[Variation 1] Choice C is the best answer. Volume = (1/3) times pi times r squared times h = (1/3) times pi times 9 times 12 = 36pi

Why others are wrong:
A: 108pi is incorrect because it does not satisfy the equation.
B: 36pi is incorrect because it does not satisfy the equation.
D: 72pi is incorrect because it does not satisfy the equation.