Question

What is the height, in meters, of a cylinder with surface area 104π m2 and radius 4 m?

Answer 1

Explanation:

The cylinder contains three areas, the top circle, the bottom circle, and the middle. The surface area of it is the sum of the three;

`As = \pi r^(2) + \pi r^(2) + 2\pi r (h) \\`

or

`As = 2\pi r^(2) + 2\pi r (h)`

where h is the height,

104
`\pi` =
`2 \pi (4)^(2) + 2\pi (4)(h)`

h = 9m