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.

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

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.