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)
First, convert the diameter from inches to feet: 72 inches = 72/12 = 6 feet.
Calculate the radius of the cylinder: r = 6/2 = 3 feet.
Calculate the lateral surface area of the cylinder: 2πrh = 2 * 3.14 * 3 * 22 = 396.72 square feet.
Calculate the surface area of the top and bottom circles: 2πr^2 = 2 * 3.14 * 3^2 = 56.52 square feet.
Add the lateral surface area and the surface area of the top and bottom circles to get the total surface area of the silo: 396.72 + 56.52 = 453.24 square feet.
Therefore, the surface area of the silo is 453.24 square feet.