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 needed, we need to find the surface area of the cylinder.
The formula for the surface area of a cylinder is:
SA = 2πr(r + h)
Given that the diameter is 6 inches, the radius (r) would be 3 inches. And the height (h) is 12 inches.
Substitute r = 3 inches and h = 12 inches into the formula:
SA = 2 * 3.14 * 3(3 + 12)
SA = 2 * 3.14 * 3(15)
SA = 2 * 3.14 * 45
SA = 282.6 square inches
Therefore, Olga will need 282.6 square inches of wrapping paper for each gift she is going to wrap.