Question
Surface area cylinder has 12 meters radius .if the surface area of the net diagram of the circular cylinder is 715.92 meters find the height use 3.14
Answers
Answered by
GPT 3.5
The surface area of a cylinder is given by the formula:
A = 2πrh + 2πr^2
Given that the radius (r) is 12 meters and the surface area (A) is 715.92 meters, we can plug these values into the formula and solve for the height (h):
715.92 = 2(3.14)(12)h + 2(3.14)(12)^2
715.92 = 75.36h + 902.88
715.92 - 902.88 = 75.36h
-186.96 = 75.36h
h = -186.96 / 75.36
h ≈ -2.48
Since the height of the cylinder cannot be negative, this is not a valid solution. This means there may have been an error in the calculations or the given information.
A = 2πrh + 2πr^2
Given that the radius (r) is 12 meters and the surface area (A) is 715.92 meters, we can plug these values into the formula and solve for the height (h):
715.92 = 2(3.14)(12)h + 2(3.14)(12)^2
715.92 = 75.36h + 902.88
715.92 - 902.88 = 75.36h
-186.96 = 75.36h
h = -186.96 / 75.36
h ≈ -2.48
Since the height of the cylinder cannot be negative, this is not a valid solution. This means there may have been an error in the calculations or the given information.
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