Question

consider the following figure: triangle figure with line m, height 6, base segments 8 and 8 what solid 3d object is produced by rotating the triangle about line m? choose 1 answer: a a cylinder with radius 8 units b a cylinder with diameter 6 units c a cone with radius 8 units d a cone with radius 6 units

Explanation:

When a right - triangle is rotated about one of its legs, the resulting 3D solid is a cone. In the given figure, the triangle is rotated about line \(m\) (which is one of the legs of the right - triangle with length 6). The other leg (the base of the right - triangle) has a length of 8, and this length will be the radius of the base of the cone. A cylinder is formed when a rectangle is rotated about one of its sides, so options A and B (which mention a cylinder) are incorrect. Option D has the wrong radius (it should be 8, not 6). So the correct option is the one that describes a cone with radius 8 units.

Answer:

C. A cone with radius 8 units