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.
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.