Which of the following is the horizontal cross section of the three-dimensional figure formed by rotating a rectangle around the

Question

Hoochie [10]

4 years ago

6

Which of the following is the horizontal cross section of the three-dimensional figure formed by rotating a rectangle around the

y-axis? a. circle b. cylinder c. triangle d. rectangle

Mathematics

1 answer:

dsp73 · Answer 1 · 2021-12-17T00:09:50+03:00

Answer: Option A.

Step-by-step explanation:

Suppose you have a rectangle in the plane X-Y, such that one of the vertices of the rectangle is on the point (0,0) and the rectangle has sides parallel to both x-axis and y-axis.

Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.

Now, if you cut it horizontally (this means that you have a cut parallel to the x-z plane) is equivalent to have a view of the cylinder from the top (as if you where on the positive y-axis), and this figure will be a circle, so the correct option is A: