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

Answer:

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

Step-by-step 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

$d=2r\\\\r=\frac{d}{2}\\\\r=\frac{12}{2}\\\\r=6\ cm$

$h=8\ cm$

Therefore the lateral area is:

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

$A = 96\pi$

$A = 301.59\ cm^2$

Answer 2

Answer:

The lateral area of a right cylinder = 96π cm²

Step-by-step 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