Question

an isosceles right triangle with legs measuring 4 inches is rotated about one of its legs. what three-dimensional object is formed as a result
answer with diameter

Answer 1

When you rotate an isosceles right triangle around one of its legs, you form a three-dimensional object known as a cone. In this case, the legs of the triangle serve as the radius and height of the cone.

Since the legs of the triangle measure 4 inches, the radius of the cone will be 4 inches, and the height will also be 4 inches.

The diameter of the base of the cone can be calculated as:

\[
\text{Diameter} = 2 \times \text{Radius} = 2 \times 4 \, \text{inches} = 8 \, \text{inches}
\]

Thus, the diameter of the base of the cone formed is **8 inches**.