A silo is a large cylinder container that holds hay. A farmer needs to refinish the side of the silo with aluminum. The silo has a radius of 4 feet and a height of 30 feet. How many square feet of aluminum does the farmer need to refinish the silo? He will not be refinishing the top or bottom of the silo. Use 3.14 for pi and round your answer to the nearest tenth.
To find the surface area of the side of the silo, we need to find the lateral area of the cylinder.
The formula for the lateral area of a cylinder is given by: Lateral area = 2πrh, where r is the radius of the base and h is the height of the cylinder.
In this case, the radius (r) is 4 feet and the height (h) is 30 feet.
Substituting these values into the formula, we have:
Lateral area = 2π(4)(30)
Lateral area = 240π
Using 3.14 for π, we can approximate the lateral area as:
Lateral area ≈ 240(3.14)
Lateral area ≈ 753.6 square feet
Therefore, the farmer needs approximately 753.6 square feet of aluminum to refinish the side of the silo.