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# Algebra help please!?

The formula 1/3𝜋𝑟^2ℎ gives the volume of a cone with height h and base radius r.

Solve the formula for h. Then find h when r = 2 inches and V = 45 cubic

inches.

### 4 Answers

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- SpacemanLv 71 year agoFavorite Answer
r = 2 in

V = 45 in³

V = (πr²h)/3

3V = πr²h

3V/πr² = h

h = 3V/πr²

h = 10.74 in

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- llafferLv 71 year ago
You are given:

V = (1/3)πr²h

To solve for h, I would start by multiplying both sides by the denominator, then divide both sides by everything on the right side except for the h:

3V = πr²h

3V / (πr²) = h

Now that we have this, find h when r = 2 and V = 45. Substitute and simplify:

h = 3V / (πr²)

h = 3(45) / (π * 2²)

h = 135 / (4π) in.

- Ana Paula1 year agoReport
Thank you so much!!!

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