What is the surface area of the cylinder with height 7 yd and radius 8 yd? Round your answer to the nearest thousandth

The formula for the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height.

Given:
Radius, r = 8 yd
Height, h = 7 yd

Surface area = 2π(8)(7) + 2π(8)^2
Surface area = 112π + 128π
Surface area = 240π

Approximating π to 3.14159, we get
Surface area ≈ 240 * 3.14159
Surface area ≈ 753.983

Therefore, the surface area of the cylinder is approximately 753.983 square yards.

What is the surface area of the cylinder with height 6 mi and radius 5 mi? Round your answer to the nearest thousandth

Given:

Radius, r = 5 mi
Height, h = 6 mi

The formula for the surface area of a cylinder is 2πrh + 2πr^2.

Surface area = 2π(5)(6) + 2π(5)^2
Surface area = 60π + 50π
Surface area = 110π

Approximating π to 3.14159, we get
Surface area ≈ 110 * 3.14159
Surface area ≈ 345.575

Therefore, the surface area of the cylinder is approximately 345.575 square miles.