Question

A theme park has a ride that is located in a cylinder with a height of 10 yards. The ride goes around the outside of the​ cylinder, which has a circumference of 515.75 yards. What is the surface area of the​ cylinder? Estimate to the nearest​ hundredth, using 3.14 for . Apply the formula for surface area of a cylinder .

Answer 1

10218.4 square yards

Explanation:

The surface area of a cylinder can be found by using the formula:

2πr(r + h)

where r is the radius of the base and h is the height of the cylinder.

First, we need to find the radius of the cylinder:

515.75 / (2 * π) ≈ 161.8

Now, we can use the formula to find the surface area:

2 * π * 161.8 * (161.8 + 10) ≈ 10218.4

The surface area of the cylinder is approximately 10218.4 square yards, rounded to the nearest hundredth.