Question

The surface area of a cylinder can be expressed by the formula S A space equals 2 pr squared space plus space 2 prh. Which formula below can be used to solve for h?

Answer 1

The formula that can be used to solve for h is;

h = S.A/(2πr) - r

Explanation:

Here, we want to find the formula that can be used to get the height of the cylinder given the surface area of the cylinder.

Mathematically;

S.A = (2 π r^2 + 2 π r h)

Let’s factor out 2 π r

S.A = 2 π r( r + h)

divide both sides by 2 π r

S.A/2 π r = r + h

h = S.A/(2 π r) - r