Chapter 12.3, Problem 1CE

(a)

To determine

To find: The length and width of the rectangle.

Answer to Problem 1CE

The length is $l=2\pi r$ and width is $b=h$ .

Explanation of Solution

Given information:

The given figure is shown below.

  

Figure (1)

Calculation:

As given that the label of soup is cutoff and laid flat.

Then it change into rectangle shape.

Lengths of the rectangle will be circumference of circle and width of the rectangle will be equal to the cylinder soup.

Here, $l$ is the length of the circle, and $r$ is the radius, $h$ is the height.

Calculate the length.

  $l=2\pi r$

Calculate the width.

  $b=h$

Therefore, the length is $l=2\pi r$ and width is $b=h$ .

(b)

To determine

To find: The area of the rectangle.

Answer to Problem 1CE

The area of the rectangle is $l\times b=2\pi rh$ .

Explanation of Solution

Given information:

The given figure is shown below.

  

Figure (1)

Calculation:

As given that the label of soup is cutoff and laid flat.

Then it change into rectangle shape.

Lengths of the rectangle will be circumference of circle and width of the rectangle will be equal to the cylinder soup.

Here, $l$ is the length of the circle, and $r$ is the radius, $h$ is the height.

Calculate the area.

  $l\times b=2\pi rh$

Therefore, the area of the rectangle is $l\times b=2\pi rh$ .