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

1 Answer
Jan 23, 2017

the radius=2.5 cm to the nearest 1/212 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 =2× 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=94.22πr=15.702×6=94.2

Lateral area=2pirh2πrh

=94.2cm=94.2cm given

2pirh=94.22πrh=94.2

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

37.699r=94.237.699r=94.2

r=(94.2)/37.699r=94.237.699

r=2.499r=2.499

check:

Lateral area =2 xx pi xx r xx h=2×π×r×h

= 2 xx 3.141592654 xx 2.499 xx 6=2×3.141592654×2.499×6

=94.2=94.2 cm