Question

What is the surface area of the cylinder with height 8 mi and radius 2 mi? Round your answer to the nearest thousandth.

Answers

GPT 3.5
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr(r+h)

Plugging in the values, we get:
Surface Area = 2π(2)(2+8)
Surface Area = 2π(2)(10)
Surface Area = 2π(20)
Surface Area = 40π

Using π ≈ 3.14159, we can calculate:
Surface Area ≈ 40(3.14159)
Surface Area ≈ 125.664

Rounded to the nearest thousandth, the surface area of the cylinder is approximately 125.664 square miles.
What is the surface area of the cylinder with height 4 mi and radius 7 mi? Round your answer to the nearest thousandth
GPT 3.5
The formula for the surface area of a cylinder is 2πr(r+h).

Plugging in the values, we get:
Surface Area = 2π(7)(7+4)
Surface Area = 2π(7)(11)
Surface Area = 2π(77)
Surface Area = 154π

Using π ≈ 3.14159, we can calculate:
Surface Area ≈ 154(3.14159)
Surface Area ≈ 483.63886

Rounded to the nearest thousandth, the surface area of the cylinder is approximately 483.639 square miles.