Unit six lesson nine surface area of cylinders find the surface area of the net diagram. We have a right circular cylinder that is 10 inches. We also have another circular cylinder on top that is 10 inches then we have 9 inches length on the right side it says use 3.14. For Tt
To find the surface area of the net diagram of the right circular cylinder, we first need to find the total surface area of each component separately and then add them together.
1. Surface area of the top cylinder:
The top cylinder has a radius of 10 inches and a height of 9 inches. The formula for the surface area of a cylinder is given by 2πr² + 2πrh, where r is the radius and h is the height.
Surface area of the top cylinder = 2(3.14)(10)² + 2(3.14)(10)(9)
Surface area of the top cylinder = 2(3.14)(100) + 2(3.14)(90)
Surface area of the top cylinder = 628 + 565.2
Surface area of the top cylinder = 1193.2 square inches
2. Surface area of the side cylinder:
The side cylinder has a radius of 10 inches and a height of 9 inches. The formula for the lateral surface area of a cylinder is given by 2πrh.
Surface area of the side cylinder = 2(3.14)(10)(9)
Surface area of the side cylinder = 2(3.14)(90)
Surface area of the side cylinder = 565.2 square inches
3. Total surface area of the net diagram:
The total surface area of the net diagram can be found by adding the surface areas of the top and side cylinders together.
Total surface area = Surface area of the top cylinder + Surface area of the side cylinder
Total surface area = 1193.2 + 565.2
Total surface area = 1758.4 square inches
Therefore, the surface area of the net diagram of the right circular cylinder is 1758.4 square inches.