the cylinder has a height of 12.8 inches and a radius of 15.1 to the nearest square unit how much fabric does renata need to cover the lateral surface of a cylindrical container?
To find the lateral surface area of a cylinder, we use the formula:
Lateral Surface Area = 2 * π * r * h
where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the values given:
Lateral Surface Area = 2 * π * 15.1 * 12.8
= 2 * 3.14159 * 15.1 * 12.8
= 2 * 3.14159 * 193.28
= 1213.48 square inches
Therefore, Renata will need 1213.48 square inches of fabric to cover the lateral surface of the cylindrical container.