Question

Whitch best describes the resulting three-dimensional figure !?

Answer 1

D. A cylinder with a base radius of 14

Answer 2

The statement which best describes the resulting three-dimensional figure is:

• A cylinder with a base radius of 14 cm.

Explanation:

We know that when a rectangle is rotated about a line then the resulting figure so obtained is a cylinder.

• Hence, the three dimensional figure will be a cylinder.

Also, the breadth of the rectangle will be the radius of the cylinder.

Here the perimeter of the rectangle is: 76 cm.

Also the length of the rectangle is: 24 cm.

Let b be the breadth of the rectangle.

We know that the perimeter of rectangle is given by the formula:

`Perimeter=2(l+b)`

where l is the length of the rectangle and b is the breadth of the rectangle.

Here we have: l=24 cm

Hence,

`76=2(24+b)\\\\i.e.\\\\24+b=(76)/(2)\\\\i.e.\\\\24+b=38\\\\i.e.\\\\b=38-24\\\\i.e.\\\\b=14\ cm`

• Hence, the radius of the cylinder is: 14 cm.