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 .
First, we need to find the lateral surface area of the cylinder.
The lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the diameter is 6 inches, the radius would be half of that, so the radius (r) = 6/2 = 3 inches.
Plugging in the values of r = 3 inches and h = 12 inches into the formula, we get:
Lateral Surface Area = 2 * 3.14 * 3 * 12 = 226.08 square inches
Therefore, Olga would need 226.08 square inches of wrapping paper for each gift she is going to wrap.