Question

A pizza box measuring by 25 cm by 25cm by 4cm contains a pizza 20cm in diameter and 3cm high.what percent of the box is occupied by the pizza and what percent is not

Answer 1

Answer: The percent of the box is occupied by the pizza= 37.68%

The percent of the box is not occupied by the pizza=62.32%

Explanation:

The box is cuboid in shape and pizza is cylindrical in shape.

The volume of the pizza box is given by:-

`\text{Volume of box}=25*25*4=2500\ cm^3`

Also the diameter of pizza= 20 cm

Thus, radius of pizza=
`(20)/(2)=10\ cm`

The volume of pizza is given by :-

`\text{Volume of pizza}=\pi r^2h=(3.14)(10)^2(3)=942\ cm^3`

Now, the percent of the box is occupied by the pizza=
`\frac{\text{Volume of pizza}}{\text{Volume of box}}*100`

`=(942)/(2500)*100=37.8\%`

Then, the percent of the box is not occupied by the pizza= 100%-37.68%

=62.32%