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
60 feet2
60 feet squared
56.52 feet2
188.4 feet squared
477.3 feet2
477.3 feet squared
301.44 feet2
To solve for the total surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.
The area of a circle is calculated using the formula A = πr^2, where r is the radius.
For the circular bases, the area would be: A_base = π(4)^2 = 16π square feet.
The lateral surface area of a cylinder is calculated using the formula A_lateral = 2πrh, where r is the radius and h is the height.
So, the lateral surface area would be: A_lateral = 2π(4)(15) = 120π square feet.
Adding the area of the two circular bases and the lateral surface area, we have:
A_total = A_base + A_base + A_lateral
= 16π + 16π + 120π
= 152π square feet
Using the value π ≈ 3.14, we can now calculate the approximate value:
A_total ≈ 152(3.14)
≈ 477.3 square feet
Therefore, the total surface area of the cylinder is approximately 477.3 square feet.