If the surface area of the net diagram of the right circular cylinder is 715.92 meters2 , find the height, the radius is 6

2 answers

The surface area of a cylinder can be calculated using the formula:

Surface Area = 2πr(r + h)

Given that the radius (r) is 6 meters, and the surface area is 715.92 meters^2, we can plug in these values to the formula:

715.92 = 2π(6)(6 + h)

Simplify the equation:

715.92 = 72π + 12πh

Now, we need to solve for h:

12πh = 715.92 - 72π
12πh = 715.92 - 226.195
12πh = 489.725
h = 489.725 / (12π)
h ≈ 12.93 meters

Therefore, the height of the right circular cylinder is approximately 12.93 meters.
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