# Solve for h s=pr^2+2prh

s=pr2+2prh
Rewrite the equation as pr2+2prh=s.
pr2+2prh=s
Subtract pr2 from both sides of the equation.
2prh=s-pr2
Divide each term by 2pr and simplify.
Divide each term in 2prh=s-pr2 by 2pr.
2prh2pr=s2pr+-pr22pr
Simplify 2prh2pr.
Cancel the common factor of 2.
Cancel the common factor.
2prh2pr=s2pr+-pr22pr
Rewrite the expression.
prhpr=s2pr+-pr22pr
prhpr=s2pr+-pr22pr
Cancel the common factor of p.
Cancel the common factor.
prhpr=s2pr+-pr22pr
Rewrite the expression.
rhr=s2pr+-pr22pr
rhr=s2pr+-pr22pr
Cancel the common factor of r.
Cancel the common factor.
rhr=s2pr+-pr22pr
Divide h by 1.
h=s2pr+-pr22pr
h=s2pr+-pr22pr
h=s2pr+-pr22pr
Simplify each term.
Cancel the common factor of p.
Cancel the common factor.
h=s2pr+-pr22pr
Rewrite the expression.
h=s2pr+-1r22r
h=s2pr+-1r22r
Cancel the common factor of r2 and r.
Factor r out of -1r2.
h=s2pr+r(-1r)2r
Cancel the common factors.
Factor r out of 2r.
h=s2pr+r(-1r)r⋅2
Cancel the common factor.
h=s2pr+r(-1r)r⋅2
Rewrite the expression.
h=s2pr+-1r2
h=s2pr+-1r2
h=s2pr+-1r2
Move the negative in front of the fraction.
h=s2pr-r2
h=s2pr-r2
h=s2pr-r2
Solve for h s=pr^2+2prh