Question

The grain silo at Lucas Farms is a concrete cylinder with a diameter of 26 feet and a heigth of 80 feet. Mr. Lucas wants to paint only the side of his silo. What is the area to be painted?

Answer 1

To find the area to be painted on the side of the grain silo, calculate the lateral surface area of the cylinder.

Step-by-step explanation:

To find the area to be painted on the side of the grain silo, we need to calculate the surface area of the curved portion. The surface area of a cylinder consists of the sum of the areas of the two circular bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by:

Lateral Surface Area = 2 * pi * r * h

where r is the radius (half the diameter) and h is the height of the cylinder. Since we are only interested in the side, we can ignore the two circular bases. Let's calculate the lateral surface area:

Lateral Surface Area = 2 * 3.14159 * (26/2) * 80

Lateral Surface Area = 10313.12 square feet.