Find the surface area of the cylinder. Use the approximation of 3.14 for pi. Height 3 yard length 2 Yards(1 point)
The formula to find the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh,
where r is the radius of the cylinder and h is the height.
Since the length of the cylinder is given as 2 yards, and the height is given as 3 yards, we can assume that the length corresponds to the circumference of the cylinder.
The formula for the circumference of a circle, which represents the lateral surface area of the cylinder, is given by:
Circumference = 2πr.
From the given information, we can write the equation:
2 = 2πr.
Simplifying, we find:
r = 1 / π.
Now we can substitute the value of r into the equation for the surface area:
Surface Area = 2π(1 / π)² + 2π(1 / π)(3).
Simplifying further, we have:
Surface Area = 2(1) + 2(3) = 2 + 6 = 8.
Therefore, the surface area of the cylinder is approximately 8 square yards.