To find the surface area of the net diagram of the right circular cylinder, we need to consider the different faces of the cylinder.
The net diagram of a right circular cylinder consists of three components - two circles representing the top and bottom faces of the cylinder, and a rectangle representing the curved surface area.
1. Top and Bottom Circles:
The formula to find the area of a circle is A = πr^2, where r is the radius. Since the cylinder has a diameter of 8 inches, the radius is 4 inches.
Area of one circle = π(4)^2 = 16π inches^2
Area of two circles = 2 * 16π = 32π inches^2
2. Curved Surface Area:
The formula to find the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height of the cylinder. In this case, the height of the cylinder is 8 inches.
Curved surface area = 2π(4)(8) = 64π inches^2
3. Total Surface Area:
Total surface area = 32π + 64π = 96π inches^2
Now, multiplying by π:
96π * 3.14 ≈ 301.44 square inches
Therefore, the surface area of the net diagram of the right circular cylinder with dimensions 8 inches, 4 inches, and 8 inches is approximately 301.44 square inches.
surface area of the net diagram of the right circular cylinder time 3.14
with diagram of 8 inches 4 inches 8 inches
1 answer
1 answer