Question

which two - dimensional figure will create a cone with a radius of 3.5 and a height of 7?

Explanation:

Step1: Recall the properties of a cone

When a right - triangle is rotated about one of its legs, it forms a cone. The length of the radius of the base of the cone is equal to the length of one leg of the right - triangle, and the height of the cone is equal to the length of the other leg of the right - triangle.

Step2: Analyze the given values

We are given that the radius \(r = 3.5\) and the height \(h=7\). So, we need a right - triangle with legs of length \(3.5\) and \(7\). When this right - triangle is rotated about the leg of length \(7\), the radius of the resulting cone will be \(3.5\) and the height will be \(7\).

Answer:

The second figure (the right - triangle with base \(3.5\) and height \(7\))