High School

The volume of a cone with a radius of 7 cm is [tex]147 \pi[/tex] cubic centimeters. Which expression can be used to find \( h \), the height of the cone?

A. [tex]147 \pi = \frac{1}{3} (7) (h^2)[/tex]

B. [tex]147 \pi = \frac{1}{3} \pi (7^2) (h)[/tex]

C. [tex]147 \pi = \frac{1}{3} \pi (h)[/tex]

D. [tex]147 \pi = \frac{1}{3} \pi (7) (h)[/tex]

Answer :

Answer:

B

Step-by-step explanation:

Volume = ⅓ pi × r² × h

147pi = ⅓ × pi × 7² × h

Step-by-step explanation:

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

[tex]V = \pi * r^2 * \frac{h}{3}[/tex]

[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]

[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]

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

Answer: Option B

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