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18 votes
18 votes
Study the figure to answer the question.

Triangle A B C. The coordinates of the vertices of triangle A B C are A (0, 4), B (4, 0), and C (0, 0).


Which best describes the three-dimensional figure obtained from rotating the figure around the y-axis?

a triangular prism with a base length of 4 units

a cone with a radius of 2 units

a cylinder with a radius of 4 units

a cone with a radius of 4 units

User Ceyko
by
2.6k points

1 Answer

17 votes
17 votes

Answer:

a cone with a radius of 4 units

Explanation:

when rotating something, this involves a circle. so, the result will always be round and never edgy. therefrom the first option is wrong.

and we are rotating a triangle. the result will have a wide base and a pointed tip. so, the third option is wrong.

the rotation does not make the basic shape smaller. so, the second option is wrong.

yes, the fourth option is correct.

User Carlossless
by
3.0k points