Question

The formula for the lateral surface area of a cylinder is s=2πrh, where r is the radius of the bases and h is the height.

Solve for h.

A)h=2Sπr

B)h=Sr/2π

C)h=r/2Sπ

D)h=S/2πr

Answer 1

D

`s = 2\pi * r * h \\h = (s)/(2\pi * r)`

Answer 2

Lateral surface area of cylinder = 2*
`\pi` *r * h

S = 2*
`\pi` *r * h

Solve for h means we have to make h alone. As there is a multiplication sign between 2 ,
`\pi` , r and h so we will use opposite operation of multiplication which is division.

So to make h alone, we will divide by side by 2*
`\pi` * r

h =
`(S)/(2\pi * r)`

Option D is the answer