Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what solid 3d object is produced by rotating the triangle about line m?…

Question

what solid 3d object is produced by rotating the triangle about line m? choose 1 answer: a torus b tube c hollow cone frustum

Explanation:

Brief Explanations

The given figure is a right - angled triangle. When a right - angled triangle is rotated about one of its legs (line \(m\) here, which is parallel to one of the legs of the right - triangle and at a distance, or maybe the leg itself? Wait, actually, when a right - angled triangle is rotated about a line parallel to one of its legs (the non - hypotenuse side), the resulting solid is a hollow cone frustum (or a frustum of a cone). A torus is formed by rotating a circle about an external line, a tube is formed by rotating a rectangle about an external line. So the correct answer is the hollow cone frustum.

Answer:

C. Hollow cone frustum