Given:
a.) The surface area of a cylinder is about 158.83 sq. ft.
b.) The height of the cylinder is 3 times the radius.
Let's determine the height and radius of the cylinder.
Recall the formula in getting the surface area of a cylinder:
But,
h = 3r (h = height, r = radius)
Let's first find the radius:
Therefore, the radius of the cylinder is approximately 2.49 feet.
For the height:
h = 3r = 3(2.51) = 7.47 feet
In Summary:
The radius is 2.49 feet
The height is 7.47 feet