The formula for volume of a cone is 𝑉=𝜋𝑟2ℎ/3V=πr 2 h/3. Solve the formula for the variable r.
Question
The formula for volume of a cone is . Solve the formula for the variable .
Solution
To solve the formula for the variable r, you need to isolate r on one side of the equation. Here are the steps:
- Start with the original formula: V = πr²h/3
- Multiply both sides by 3 to get rid of the fraction: 3V = πr²h
- Divide both sides by πh to isolate r²: r² = 3V/πh
- Finally, take the square root of both sides to solve for r: r = sqrt(3V/πh)
So, the formula for r in terms of V, h, and π is r = sqrt(3V/πh).
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