Find the surface area of a radius of 5 cm and a height of 15 cm Use the approximation 3.14 for pi. (1 point)

Responses 533.8 square centimeters 533.8 square centimeters 628 square centimeters 628 square centimeters 1,099 square centimeters 1,099 square centimeters 628 centimeters

3 answers

The surface area of a cylinder is calculated using the formula: 2πr(r+h).

Given that the radius (r) = 5 cm and height (h) =15 cm, we can plug these values into the formula.

Surface Area = 2 * 3.14 * 5(5+15)
Surface Area = 2 * 3.14 * 5(20)
Surface Area = 2 * 3.14 * 100
Surface Area = 628 square centimeters

Therefore, the surface area of the cylinder is 628 square centimeters.
Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
The surface area of a cylinder, including the top and bottom faces, is given by the formula:
2πr(r+h) + 2πr^2, where r is the radius and h is the height.

Given r = 4 feet and h = 3 feet, we can plug these values into the formula.

Surface Area = 2 * 3.14 * 4(4+3) + 2 * 3.14 * 4^2
Surface Area = 2 * 3.14 * 4(7) + 2 * 3.14 * 16
Surface Area = 2 * 3.14 * 28 + 2 * 3.14 * 16
Surface Area = 175.84 + 100.48
Surface Area = 276.32 square feet

Therefore, the surface area of the cylinder is approximately 276.3 square feet.