If r = 6 ft and h = 3 ft, what is the approximate surface area of the cylinder? (Use 3.14 for pi. )

Answer 1

To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the lateral surface area.

First, find the area of the two circular bases:
Area = πr^2
Area = 3.14 x 6^2
Area = 3.14 x 36
Area ≈ 113.04 square feet

Next, find the lateral surface area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 x 3.14 x 6 x 3
Lateral Surface Area ≈ 113.04 square feet

Finally, add the two areas together to find the total surface area:
Total Surface Area = 2(πr^2) + 2πrh
Total Surface Area = 2(113.04) + 113.04
Total Surface Area ≈ 226.08 + 113.04
Total Surface Area ≈ 339.12 square feet

Therefore, the approximate surface area of the cylinder is 339.12 square feet.