7

Set 3: Area Volume (Advanced)

Explanation

Answer: B

PROBLEM

Recent studies show that a cone has radius 4 and height 12. What is its volume? (Express as a number times pi)

A cone has radius 4 and height 12. What is its volume? (Express as a number times pi)

A.

128pi

B.

64pi

✓ Correct
C.

192pi

D.

48pi

Detailed Explanation

[Variation 1] Choice B is the best answer. Volume = (1/3) times pi times r squared times h = (1/3) times pi times 16 times 12 = 64pi

Why others are wrong:
A: 128pi is incorrect because it does not satisfy the equation.
C: 192pi is incorrect because it does not satisfy the equation.
D: 48pi is incorrect because it does not satisfy the equation.