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
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.
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.