The total surface area of a cylinder of diameter 10 cm is 330 square centimeters. Find the height of the cylinder?

Explanation

Solution to Cylinder Height Problem Solution To find the height of the cylinder, we use the formula for the total surface area of a cylinder: Total Surface Area = 2πr (r + h) Given Data: Diameter = 10 cm, so radius r = 5 cm. Total Surface Area = 330 cm². Solution: 1. Substitute the values into the formula: 330 = 2 × π × 5 × (5 + h) 1. Simplify the equation: 330 = 10π (5 + h) 1. Divide both sides by 10π: 330 / (10π) = 5 + h 1. Substitute π ≈ 3.1416: 330 / 31.416 = 5 + h 10.5 = 5 + h 1. Solve for h: h = 10.5 - 5 = 5.5 Conclusion: The height of the cylinder is 5.5 cm.