Question
Use a formula to find the surface area of the cylinder to the nearest whole unit.
The cylinder has a top radius of 12 feet and a height between bases of 20 feet.
(1 point)
Responses
1,206 ft2
1,206 ft 2
2,413 ft2
2,413 ft 2
1,960 ft2
1,960 ft 2
1,659 ft2
To find the surface area of a cylinder, you use the formula 2πr^2 + 2πrh, where r is the radius and h is the height.
Given:
Top radius (r) = 12 feet
Height (h) = 20 feet
Plugging in the values:
Surface area = 2π(12)^2 + 2π(12)(20)
Surface area = 2π(144) + 2π(240)
Surface area = 288π + 480π
Surface area = 768π
Now, to find the value to the nearest whole unit:
Surface area ≈ 768 * 3.14
Surface area ≈ 2411.52
Therefore, the surface area of the cylinder to the nearest whole unit is 2412 ft2. So, closest response is: 2,413 ft2.