Question

Find the surface area of the net diagram of the right circular cylinder 8 in 4in 8 in

Answer 1

To find the surface area of a right circular cylinder, we need to determine the areas of the two circular bases and the lateral surface area.

Given that the radius of the cylinder is 4 inches and the height is 8 inches, the areas can be calculated as follows:

1. Area of each circular base:
Area = πr^2
Area = π(4)^2
Area = 16π square inches (for each base)

2. Lateral surface area:
Lateral surface area = 2πrh
Lateral surface area = 2π(4)(8)
Lateral surface area = 64π square inches

Now, we add up the areas of the two circular bases and the lateral surface area to get the total surface area:
Total surface area = 2(16π) + 64π
Total surface area = 32π + 64π
Total surface area = 96π square inches

Therefore, the surface area of the right circular cylinder is 96π square inches, or approximately 301.59 square inches.