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
