Use the formula for the surface area of a right cone, A=πr(r+√h^2+r^2), to answer the question.

Question

show how this formula can be rearranged to solve for h

Answer 1

correcting your formula:
A=πr(r+√(h^2+r^2))
A = πr^2 + √(h^2+r^2)
A - πr^2 = √(h^2+r^2)
square both sides
(A - πr^2) = h^2 + r^2
(A - πr^2) - r^2 = h^2
h = √[ (A - πr^2) - r^2 ]