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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 𝑉=𝜋𝑟2ℎ/3V=πr 2 h/3. Solve the formula for the variable r.

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Solution

To solve the formula for the variable r, you need to isolate r on one side of the equation. Here are the steps:

  1. Start with the original formula: V = πr²h/3
  2. Multiply both sides by 3 to get rid of the fraction: 3V = πr²h
  3. Divide both sides by πh to isolate r²: r² = 3V/πh
  4. 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).

This problem has been solved

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