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 .(1 point)
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To calculate the amount of wrapping paper Olga needs for each gift, we first need to find the surface area of the cylinder.
The formula for the surface area of a right circular cylinder is:
Surface Area = 2πr^2 + 2πrh
Where:
r = radius of the cylinder
h = height of the cylinder
Given that the diameter of the cylinder is 6 inches, the radius (r) would be half of that, which is 3 inches. And the height (h) is 12 inches.
Plugging these values into the formula:
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 inches^2
Therefore, Olga needs 282.6 square inches of wrapping paper for each gift she is going to wrap.