The lateral surface area of the cylinder is 72 and the height is 8. Find the diameter of the base.

The lateral surface area of the cylinder is calculated by the formula:

Side = 2пrH, where r is the radius of the base of the cylinder, H is the height of the cylinder. Substituting the data we have, we get:

72 = 2 * n * r * 8;

72 = 16 * n * r.

Find the radius of the base of the cylinder. To do this, we will use the rule: to find an unknown factor, the product must be divided by a known factor. As a result, we get:

r = 72 / 16п.

Reduce 72 and 16 by 16:

r = 4.5 / п.

The base diameter is calculated by the formula:

d = 2 * r = 2 * 4.5 / n = 9 / n.

Answer: 9 / п.