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Answer :
We are given that the volume of a cone is
[tex]$$V = \frac{1}{3}\pi r^2 h,$$[/tex]
where [tex]$r$[/tex] is the radius and [tex]$h$[/tex] is the height.
Given:
- Radius [tex]$r = 7$[/tex] cm,
- Volume [tex]$V = 147\pi$[/tex] cubic centimeters.
Substitute [tex]$r = 7$[/tex] into the volume formula:
[tex]$$147\pi = \frac{1}{3}\pi (7^2)h.$$[/tex]
This is the expression that can be used to find [tex]$h$[/tex]. Therefore, the correct choice is
[tex]$$147\pi=\frac{1}{3} \pi\left(7^2\right)(h).$$[/tex]
[tex]$$V = \frac{1}{3}\pi r^2 h,$$[/tex]
where [tex]$r$[/tex] is the radius and [tex]$h$[/tex] is the height.
Given:
- Radius [tex]$r = 7$[/tex] cm,
- Volume [tex]$V = 147\pi$[/tex] cubic centimeters.
Substitute [tex]$r = 7$[/tex] into the volume formula:
[tex]$$147\pi = \frac{1}{3}\pi (7^2)h.$$[/tex]
This is the expression that can be used to find [tex]$h$[/tex]. Therefore, the correct choice is
[tex]$$147\pi=\frac{1}{3} \pi\left(7^2\right)(h).$$[/tex]
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