Question

The lateral area of a cylinder is 94.2cm2. The height is 6 cm. What is the radius?

Answer 1

the radius=2.5 cm to the nearest `1/2` centimeters

Explanation:

The lateral area of a cylinder is the curved area of a cylinder.

a cylinder has two circles so the one side of the curved
area`= 2 xx` the circumference and the other side = 6cm
which is the height of the cylinder.
when the curved area is opened flat you get a rectangle.
So `2pir=15.702 xx 6=94.2`

Lateral area=`2pirh`

`=94.2cm` given

`2pirh=94.2`

`(2)(3.141592654)(r)(6)=94.2`

`37.699r=94.2`

`r=(94.2)/37.699`

`r=2.499`

check:

Lateral area `=2 xx pi xx r xx h`

`= 2 xx 3.141592654 xx 2.499 xx 6`

`=94.2` cm