Need help with unit surface area lesson nine surface area of cylinders and we have on the bottom 12 m on the top 12 m and then it says it the surface area of the net diagram of the right circular cylinder is 715.92 m find the height used 3.14 tt would your answer be 13 m 16 m 6.5 m are 42 m

Answer 1

To find the height of the cylinder, we can use the formula for the surface area of a cylinder:

Surface Area = 2πrh + πr^2

Given that the surface area of the net diagram is 715.92 m, we can substitute the values for the radius and surface area:

715.92 = 2π(12)h + π(12)^2
715.92 = 24πh + 144π
715.92 = 168πh

Now we can solve for the height (h):

715.92 = 168πh
h = 715.92 / 168π
h ≈ 1.35 m

Therefore, the correct answer is closest to 1.35 m. In the given options, 6.5 m is the closest to 1.35 m. So, the height of the cylinder is approximately 6.5 m.