Yes I m o n e has a red c y l i n d r i c a l storage box that she would like to decorate with pattern paper the radius of the box is 4.5 in the height is 10.2 in the cylinders net is shown below how much paper will Simone need to cover the entire box use 3.14 for radius 4.5 in 10.2 in 4.5 in a 74 2016 in b206.55 square inches deep 415.42 square inches deep 648.57 square inches
To find the total surface area of the cylindrical storage box, we need to find the surface area of the top and bottom circles, as well as the lateral surface area.
1. Surface area of the top and bottom circles:
A = π * r^2
A = 3.14 * (4.5)^2
A = 3.14 * 20.25
A = 63.585 square inches (for each circle)
2. Surface area of the lateral surface:
A = 2 * π * r * h
A = 2 * 3.14 * 4.5 * 10.2
A = 285.66 square inches
Now, add the surface area of the top and bottom circles to the lateral surface area to find the total surface area:
Total surface area = 2(63.585) + 285.66
Total surface area = 127.17 + 285.66
Total surface area = 412.99 square inches
Simone will need approximately 413 square inches of pattern paper to cover the entire cylindrical storage box.