Solve for h. `A=pirsqrt(h^2+r^2)` Please explain how you arrive at the answer.Thanks

1 Answer

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lemjay | High School Teacher | (Level 3) Senior Educator

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First, isolate `sqrt(h^2+r^2)` . To do so, divide both sides by `pi r` .



Then, eliminate the radical. So, square both sides of the equation.



To have h^2 only at the right side, subtract both sides by r^2.



And, to have h only, take the square root of both sides of equation.



Then, simplify left side.






Hence, `h=(sqrt(A^2-pi^2r^4))/(pir)` .