Question

Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.

Answer 1

[AI-generated answer — Bot]

The equation for the total surface area of a cylinder is:

2πr(h + r)

To solve for the height of the cylinder, we need to have a value for the radius and the total surface area.

Let's assume that the radius of the cylinder is 5 units and the total surface area is 150 square units.

2πr(h + r) = 150 (substituting the values)

2π(5)(h + 5) = 150

10π(h + 5) = 150

h + 5 = 15/π

h = 15/π - 5

h ≈ 0.977 units

Therefore, the height of the cylinder is approximately 0.977 units.