Question

You are preparing to paint a grain silo. The silo is a 20-foot tall cylinder with a circumference of 147 feet. One gallon of paint covers 300 square feet. How much paint should you buy to cover all but the bottom of the silo with one coat of paint

Answer 1

Answer:

The answer to your question is 9 gallons

Step-by-step explanation:

Data

height = 20 ft

perimeter = 147 ft

1 gallon covers 300 ft²

paint = ?

Formula

Area of a cylinder = 2πrh + πr²

2πr = 147 ft

r = ?

Process

1.- Calculate the radius

             2πr = 147

                 r = 147/2π

                 r = 23.4 ft

2.- Substitution

Area of the cylinder = 147(20) + 3.14(23.4)²

3.- Simplification

Area of the cylinder = 940 + 1719.33

Area of the cylinder = 2659. 33 ft²

4.- Divide the area of the cylinder by the area a gallon can cover.

Number of gallons = 2659.33/300

                               = 8.86 ≈ 9