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, she needs to calculate the surface area of the cylinder.

First, calculate the lateral surface area of the cylinder:
Lateral surface area = height x circumference = 12 x (pi x diameter) = 12 x (3.14 x 6) = 226.08 square inches

Next, calculate the area of the two circular ends of the cylinder:
Each circular end has an area of (pi x radius^2) = 3.14 x (3)^2 = 28.26 square inches
Since there are two circular ends, the total area for both ends is 2 x 28.26 = 56.52 square inches

Add the lateral surface area and the area of the two ends together to get the total surface area:
Total surface area = 226.08 + 56.52 = 282.60 square inches

Therefore, Olga will need 282.60 square inches of wrapping paper for each gift she wraps.