The formula for finding the surface area of a cylinder including its ceiling and floor is: A = 2πrh + 2πr^2, where r is the radius, h is the height, and π is approximately 3.14.
First, we need to convert the diameter from inches to feet. 72 inches = 72/12 = 6 feet.
The radius (r) of the cylinder is half of the diameter, so r = 6/2 = 3 feet.
Now we can plug in the values into the formula: A = 2 * 3.14 * 3 * 22 + 2 * 3.14 * 3^2
A = 2 * 3.14 * 66 + 2 * 3.14 * 9
A = 415.44 + 56.52
A = 471.96
Therefore, the surface area of the silo is approximately 471.0 ft^2.
The closest option provided is 471.0 ft^2.
Lucas needs to determine the surface area of a silo that is in the shape of a cylinder, including its ceiling and floor. If the height is 22 feet and the diameter is 72 inches, what is the silo’s surface area? Use 3.14 for π.(1 point)
Responses
1,055.04 ft.2
414.48 ft.2
471.0 ft.2
13,112.64 ft.2
1 answer
1 answer