Question

The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?

A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)

Answer 1

B

Explanation:

Volume = ⅓ pi × r² × h

147pi = ⅓ × pi × 7² × h

Answer 2

Explanation:

Step 1: Find the expression that can be used to find h

`V = \pi * r^2 * (h)/(3)`

`147 \pi = \pi * (7)^2 * (h)/(3)`

`147\pi = (1)/(3) * \pi * 7^2 * h`

147 pi = one-third pi (7 squared) (h)

Answer: Option B