Olga is making presents for her teachers and needs to wrap them. She places the gifts in a right circular cylinder with a height of 12 inches and diameter of 6 inches. How much wrapping paper does she need for each gift she is going to wrap? Use 3.14 for π
To calculate the amount of wrapping paper Olga needs for each gift, we first need to determine the surface area of the cylinder.
The formula to calculate the lateral surface area of a cylinder is 2πrh, where r is the radius of the cylinder and h is the height.
Given that the diameter of the cylinder is 6 inches, the radius is half of the diameter, so the radius is 3 inches.
Plugging in the values, we get:
Lateral surface area = 2 * 3.14 * 3 * 12
Lateral surface area = 6.28 * 36
Lateral surface area = 226.08 square inches
So, Olga needs 226.08 square inches of wrapping paper for each gift she is going to wrap.