area of lateral face of a cylinder with a height of 3 and a radius of 10

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the cylinder and h is the height of the cylinder.

Given:
r = 10
h = 3

Lateral Surface Area = 2π(10)(3)
Lateral Surface Area = 60π

Approximately:
Lateral Surface Area ≈ 188.5 units squared

Therefore, the lateral surface area of the cylinder with a height of 3 and a radius of 10 is 60π or approximately 188.5 units squared.