The volume of a cone of radius r and height h is V=1/3πr^2h.Solve for r. Please help me!:(
r^2=3*V/(PI*h)
r=sqrt(3*V/(PI*h) )
To solve for the radius (r) in the equation V = (1/3)πr^2h, we need to rearrange the equation to isolate the variable r.
Here are the steps to solve for r:
1. Start with the given equation: V = (1/3)πr^2h.
2. Multiply both sides of the equation by 3/π to remove the fraction: (3/π)V = r^2h.
3. Divide both sides of the equation by h to isolate r^2: (3/π)V / h = r^2.
4. Take the square root of both sides of the equation to solve for r: sqrt((3/π)V / h) = r.
Therefore, the solution for r is given by the equation: r = sqrt((3/π)V / h).
By plugging in the values for V and h into this equation, you can find the radius (r) of the cone.