Question

The lateral area of a right cylinder which has a base diameter of 12 cm and a height of 8 cm is?

Answer 1

The lateral area of a right cylinder = 96π cm²

Explanation:

Points to remember

The lateral area of a right cylinder = 2πrh

Where r - Radius of cone and

h - Height of cone

To find the lateral surface area

Here diameter d = 12 cm

then radius r = d/2 = 12/2 = 6 cm

And h = 8 cm

Lateral surface area = 2πrh

= 2 * π *6 * 8 = 96π cm²

Therefore the lateral area of a right cylinder = 96π cm²

Answer 2

`A = 301.59\ cm^2` or
`A=96\pi\ cm^2`

Explanation:

The lateral area of a cylinder is calculated by the following formula

`A = 2\pi r * h.`

Where r is the radius of the right cylinder and h is the height

In this case we know that the diameter d of the cylinder is

`d=2r\\\\r=(d)/(2)\\\\r=(12)/(2)\\\\r=6\ cm`

`h=8\ cm`

Therefore the lateral area is:

`A = 2\pi*6 * 8.`

`A = 96\pi`

`A = 301.59\ cm^2`