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
477.3 feet2
477.3 feet squared
301.44 feet2
100.48 feet squared
60 feet2
60 feet squared
56.52 feet2
To solve for the total surface area of the cylinder, we need to find the area of the two bases and the lateral surface area.
The area of each base can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius.
Area of each base = π(4^2) = 16π
The lateral surface area can be calculated using the formula: A = 2πrh, where r is the radius and h is the height.
Lateral surface area = 2π(4)(15) = 120π
Now we can find the total surface area by adding the areas of the two bases and the lateral surface area.
Total surface area = 2(16π) + 120π = 32π + 120π = 152π
Using 3.14 as the value for π, we can approximate the total surface area to the nearest tenth:
Total surface area ≈ 152(3.14) = 477.28
Rounding to the nearest tenth, the total surface area of the cylinder is approximately 477.3 feet squared.