Question
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
Answers
GPT 3.5
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.
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.