A shed is the shape of a cylinder with a height of 10 feet and a diameter of 15 feet. What is the surface area of the shed? Use 3.14 for π .

Answer 1

The formula to calculate the surface area of a cylinder is:

Surface Area = 2πr^2 + 2πrh

Where:
r = radius of the base of the cylinder
h = height of the cylinder

Given that the diameter of the shed is 15 feet, the radius (r) is half of the diameter, so r = 15 / 2 = 7.5 feet.

Plugging in the values we have:

Surface Area = 2 * 3.14 * (7.5)^2 + 2 * 3.14 * 7.5 * 10
Surface Area = 2 * 3.14 * 56.25 + 2 * 3.14 * 75
Surface Area = 6.28 * 56.25 + 6.28 * 75
Surface Area = 353.25 + 471
Surface Area = 824.25

Therefore, the surface area of the shed is 824.25 square feet.