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%

Step-by-step explanation:

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

The volume of the pizza box is given by:-

$\text{Volume of box}=25\times25\times4=2500\ cm^3$

Also the diameter of pizza= 20 cm

Thus, radius of pizza=$\frac{20}{2}=10\ cm$

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=$\frac{\text{Volume of pizza}}{\text{Volume of box}}\times100$

$=\frac{942}{2500}\times100=37.8\%$

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

=62.32%