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)

?inches^2?

1 answer

First, we need to calculate the surface area of the right circular cylinder.

The formula for the surface area of a right circular cylinder is:
Surface Area = 2πr^2 + 2πrh

Where:
r = radius of the base of the cylinder
h = height of the cylinder

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

Substitute the radius (r = 3 inches) and height (h = 12 inches) 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 square inches

So, Olga needs a total of 282.6 square inches of wrapping paper for each gift she is going to wrap.