Question

a cylinder with a diameter of 2 yds and a height of 3 yd what is the surface area of the cylinder use the approximation of 3.14 for pi

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, let's find the radius of the circular bases of the cylinder. The diameter is given as 2 yards, so the radius is half of that: 2 yards / 2 = 1 yard.

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

The surface area of the circular bases can be found using the formula for the area of a circle: πr^2. Therefore, the surface area of both bases combined is 2πr^2.

The surface area of the curved surface can be found using the formula for the lateral surface area of a cylinder: 2πrh.

Given that the radius is 1 yard and the height is 3 yards, the surface area is:

2π(1^2) + 2π(1)(3) = 2π + 6π = 8π.

Now, we can approximate the value of π as 3.14:

8π ≈ 8(3.14) = 25.12 square yards.

Therefore, the surface area of the cylinder is approximately 25.12 square yards.