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

Problem

s=2*π*r2+2*π*r*h

Solution

1. Identify the term containing the variable h which is 2*π*r*h

2. Isolate the term 2*π*r*h by subtracting 2*π*r2 from both sides of the equation.

s−2*π*r2=2*π*r*h

3. Divide both sides by the coefficient of h which is 2*π*r to solve for h

h=(s−2*π*r2)/(2*π*r)

4. Simplify the expression by dividing each term in the numerator by the denominator if desired.

h=s()/(2*π*r)−r

Final Answer

h=(s−2*π*r2)/(2*π*r)

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