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)
Responses
56.52 feet2
188.4 feet squared
60 feet2
60 feet squared
477.3 feet2
477.3 feet squared
301.44 feet2
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.