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 Pi.

Answer 1

To find the amount of wrapping paper Olga needs for each gift, we first need to calculate the surface area of the cylinder.

The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr^2 + 2πrh
where r is the radius and h is the height of the cylinder.

Given that the diameter of the cylinder is 6 inches, the radius (r) would be half of the diameter, so r = 6/2 = 3 inches.

Plugging in the values, the surface area of the cylinder is:
Surface Area = 2 * 3.14 * 3^2 + 2 * 3.14 * 3 * 12
Surface Area = 2 * 3.14 * 9 + 2 * 3.14 * 36
Surface Area = 56.52 + 226.08
Surface Area = 282.6 square inches

Therefore, Olga would need 282.6 square inches of wrapping paper for each gift she wraps.