The surface area of a cylinder is 408.2 square feet. The area of one of the bases is 78.5 square feet. Find the height of the cylinder. Use 3.14 for π.

Answer: The height of the cylinder is 8 feet.

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

The area of one of the bases is 78.5 square feet. This means that

78.5 = 3.14 * r²

r² = 78.5/3.14 = 25

r = √25 = 5

The formula for determining the surface area of a cylinder is expressed as

Surface area = 2πr² + 2πrh

The surface area of a cylinder is 408.2 square feet. Therefore,

408.2 = 2 * 3.14 * 5² + 2 * 3.14 * 5 * h

408.2 = 157 + 31.4h

31.4h = 408.2 - 157

31.4h = 251.2

h = 251.2/31.4

h = 8 feet