Sonia cut a tree trunk in the shape of a cylinder. The length is 15 feet, and the diameter is 30 inches. Solve for the surface area, using 3.14 for π .(1 point)
Responses
274.75 ft.2
274.75 ft. squared
117.75 ft.2
117.75 ft. squared
127.56 ft.2
127.56 ft. squared
2,826 ft.2
117.75 ft. squared
To solve for the surface area of a cylinder, you can use the formula:
Surface Area = 2πr^2 + 2πrh
Given that the diameter is 30 inches, the radius (r) is half of this which is 15 inches.
First, converting 15 feet to inches gives 180 inches.
Plugging in these values to the formula:
Surface Area = 2*3.14*(15)^2 + 2*3.14*(15)*(180)
Surface Area = 2*3.14*225 + 2*3.14*2700
Surface Area = 1413 + 16956
Surface Area = 18369
Converting back to feet, it would be 18369 / 144 = 127.56 ft. squared