Question

Find the surface area of a cylinder with a radius 2 yd and a height of 3yd use the approximation 3.14 for pi

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

First, let's find the area of one base. The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius.

Using the given radius of 2 yd, the area of one base is A = 3.14 * (2^2) = 3.14 * 4 = 12.56 square yards.

Since there are two bases, we multiply this by 2 to get 2 * 12.56 = 25.12 square yards for the total area of both bases.

Next, let's find the lateral surface area of the cylinder. The lateral surface area of a cylinder is given by the formula A = 2πrh, where A is the area, r is the radius, and h is the height.

Using the given radius of 2 yd and height of 3 yd, the lateral surface area is A = 2 * 3.14 * 2 * 3 = 37.68 square yards.

Finally, to find the total surface area, we add the area of the bases to the lateral surface area: 25.12 + 37.68 = 62.8 square yards.

Therefore, the surface area of the cylinder is approximately 62.8 square yards.