5

Set 3: Area Volume (Advanced)

Explanation

Answer: D

PROBLEM

Recent studies show that a cone has radius 4 and height 6. What is its volume? (Express as a number times pi)

A cone has radius 4 and height 6. What is its volume? (Express as a number times pi)

A.

24pi

B.

96pi

C.

64pi

D.

32pi

✓ Correct

Detailed Explanation

[Variation 1] Choice D is the best answer. Volume = (1/3) times pi times r squared times h = (1/3) times pi times 16 times 6 = 32pi

Why others are wrong:
A: 24pi is incorrect because it does not satisfy the equation.
B: 96pi is incorrect because it does not satisfy the equation.
C: 64pi is incorrect because it does not satisfy the equation.