find the surface area use 3.14 for pi

raduis is 5 height is 15.

1 answer

To find the surface area of a cylinder, we need to calculate the area of the two bases and the lateral surface area.

The formula for the area of the base of a cylinder is A_base = πr², where r is the radius.

So, the area of the base is A_base = 3.14 * (5)² = 3.14 * 25 = 78.5 square units.

The formula for the lateral surface area of a cylinder is A_lateral = 2πrh, where r is the radius and h is the height.

So, the lateral surface area is A_lateral = 2 * 3.14 * 5 * 15 = 471 square units.

To find the surface area, we add the area of the two bases and the lateral surface area:

Surface Area = A_base + A_base + A_lateral
Surface Area = 78.5 + 78.5 + 471
Surface Area = 628 square units.

Therefore, the surface area of the cylinder is 628 square units.