Determine the width of the lateral face of the cylinder. with a height of 14 and radius of 7

To find the width of the lateral face of the cylinder, you need to calculate the circumference of the base and then multiply it by the height.

The circumference of the base of a cylinder can be calculated using the formula:

Circumference = 2 * π * radius

Given that the radius is 7, you can calculate the circumference as follows:

C = 2 * π * 7
C = 14 * π

Now, multiply this circumference by the height of the cylinder (14):

Width of lateral face = Circumference * height
Width of lateral face = 14 * π * 14
Width of lateral face = 196π

Therefore, the width of the lateral face of the cylinder with a height of 14 and a radius of 7 is 196π.