Question

Jack knows the surface area of a cylinder and its radius. He wants to find the cylinder's height. He needs to rewrite the formula to find the cylinder's height (h) in terms of the cylinder’s surface area (A) and its radius (r). Which is the correct formula?

Answer 1

This formula should help you.

Answer 2

`h=(A)/(2\pi r) -r`

Explanation:

We know the formula for the surface area of a cylinder is:

`A=2\pi r(r+h)`

where;

A is the surface area of the cylinder

r is the radius of the cylinder

h is the height of the cylinder

Now, we have to rewrite the formula to find the cylinder's height (h)

So, we will isolate the variable 'h'

Dividing both sides by
`2\pi r` , we get

`h=(A)/(2\pi r) -r`

Thus, the formula for 'h' with respect to A and 'r' is
`h=(A)/(2\pi r) -r`