The surface area of the net diagram of the right circular cylinder is 522.81 feet?. Find the height of the curved surface. Use 3.14 for . the circle is 9 ft in diamateft4re
To find the height of the curved surface of the cylinder, we first need to calculate the circumference of the base circle using the diameter provided.
Circumference = πd
Circumference = 3.14 x 9
Circumference = 28.26 feet
Now, we use the formula for the surface area of the net diagram of a cylinder:
Surface area = 2πrh + πr^2
Given: surface area = 522.81 feet^2, radius (r) = 4.5 feet, circumference = 28.26 feet
We can substitute the values into the formula and solve for the height (h):
522.81 = 2(3.14)(4.5)h + 3.14(4.5)^2
522.81 = 28.26h + 63.58
28.26h = 459.23
h ≈ 16.25 feet
Therefore, the height of the curved surface of the right circular cylinder is approximately 16.25 feet.