Question

A rectangle with vertices (0,0), (6,0), (6,2), and (0,2) is rotated around the y-axis. Which of the following is the horizontal cross section of the three-dimensional figure formed? rectangle circle triangle cylinder

Answer 1

The resulting shape is a cylinder, with axis along y-axis.
The horizontal cross section is a circle with radius √ (40) , which is the distance between (0,0) and (6,2).

Answer 2

B. Circle

Explanation:

We are given,

The rectangle with vertices (0,0), (6,0), (6,2) and (0,2) as shown below.

Now, we have that,

This rectangle is rotated around the y-axis.

So, we get,

The resulting 3D figure after the rotation will resemble a cylinder.

So, the horizontal cross-sectional figure formed by a cylinder is a 'circle'.

Hence, the correct answer is 'Circle'.