If the surface area of the net diagram of the right circular cylinder is 395.64 feet2 , find the height of the net diagram. Use 3.14 for π .
The net diagram of a right circular cylinder consists of three parts - two circles (top and bottom) and one rectangle (the lateral surface).
Let's denote:
- r as the radius of the base of the cylinder
- h as the height of the cylinder
The formula for the surface area of a right circular cylinder is:
Surface Area = 2πr^2 + 2πrh
Given that the total surface area of the net diagram is 395.64 ft^2, we have:
395.64 = 2(3.14)(r^2) + 2(3.14)(r)(h)
Now you need to solve this equation for the height (h). This involves using the radius of the base of the cylinder. Without this information, we cannot calculate the height of the net diagram.