The surface area of a cylinder is 1,657.92 square yards. It has a diameter of 16 yards. Find the height. Use 3.14 for π
The formula for the surface area of a cylinder is 2πrh + πr^2, where r is the radius and h is the height.
Given that the diameter of the cylinder is 16 yards, we know that the radius is half of that, which is 8 yards.
We also know that the surface area is 1,657.92 square yards.
So, we can set up the equation as:
2 * 3.14 * 8 * h + 3.14 * 8^2 = 1,657.92
25.12h + 3.14 * 64 = 1,657.92
25.12h + 200.96 = 1,657.92
25.12h = 1,456.96
h = 1,456.96 / 25.12
h ≈ 57.94
Therefore, the height of the cylinder is approximately 57.94 yards.