Question

The surface area of a cylinder is 1,657.92 yards. it has a diameter of 16 yards. Find the height. Use 3.14 for pi

Answer 1

that is not right

Answer 2

The formula for the surface area of a cylinder is given by:

Surface Area = 2πrh + 2πr^2

Given that the diameter of the cylinder is 16 yards, we can find the radius by dividing the diameter by 2:

r = 16 / 2 = 8 yards

Now we can substitute the given values into the formula:

1,657.92 = 2(3.14)(8)h + 2(3.14)(8)^2
1,657.92 = 50.24h + 401.92

Solving for h, we get:

1,257.92 = 50.24h
h = 1,657.92 / 50.24
h = 33 yards

Therefore, the height of the cylinder is 33 yards.

Answer 3

I apologize for the mistake. Let's rework the problem.

Given:
Surface Area = 1,657.92 yards
Diameter = 16 yards

First, we need to find the radius by dividing the diameter by 2:
r = 16 / 2 = 8 yards

Now, we can use the formula for the surface area of a cylinder:
Surface Area = 2πrh + 2πr^2

Substitute the values into the formula:
1,657.92 = 2(3.14)(8)h + 2(3.14)(8)^2
1,657.92 = 50.24h + 401.92
1,657.92 - 401.92 = 50.24h
1,256 = 50.24h
h = 1,256 / 50.24
h = 25 yards

Therefore, the correct height of the cylinder is 25 yards. Thank you for bringing that to my attention.