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
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.