A cylinder has a height of 15 feet and a radius of 4 feet. Solve for the total surface area of the cylinder. Use 3.14 for π and round to the nearest tenth.(1 point)

Question

Responses

56.52 feet2
188.4 feet squared

60 feet2
60 feet squared

477.3 feet2
477.3 feet squared

301.44 feet2

Answer 1

To find the total surface area of a cylinder, you need to find the areas of the individual components and then add them together.

The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh

The formula for the base surface area of a cylinder is given by:
Base Surface Area = πr^2

To find the total surface area, you need to calculate the lateral surface area and the base surface area separately, and then add them together.

Lateral surface area = 2 * 3.14 * 4 * 15 = 376.8 square feet (rounded to the nearest tenth)
Base surface area = 3.14 * 4^2 = 3.14 * 16 = 50.24 square feet (rounded to the nearest tenth)

Total surface area = Lateral surface area + 2 * Base surface area = 376.8 + 2 * 50.24 = 477.28 square feet (rounded to the nearest tenth)

Therefore, the answer is 477.3 feet2.