Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem to find the radius of the cylinder's base. The height of the cylinder and the slant line (a hypotenuse - like length in the right - triangle formed) are given, and we need to find the radius, from which we can determine the diameter.

 

Key Concept Explanation

The Pythagorean Theorem states that for a right - triangle with legs of lengths and and hypotenuse of length , . In this case, the height of the cylinder is one leg, the radius of the base is the other leg, and the given slant length is the hypotenuse.

 

Step - by - Step Solution

1. Find the radius of the cylinder:

Let the radius be . The height cm and the hypotenuse cm.

According to the Pythagorean Theorem .

Substitute the values: .

Calculate

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