### Home > INT3 > Chapter 10 > Lesson 10.1.5 > Problem10-80

10-80.

The Clean-Up Vacuum Company is designing a new upright vacuum cleaner.

1. What shapes can they use to model this new vacuum cleaner?

Which 3-dimensional shapes can stand on their own?

Think of how each piece will be used.

2. The Clean-Up Vacuum Company has decided to use a cylindrical model for the body of the vacuum. They want it to be $2.5$ feet tall and have a circumference of $14$ inches. If only $75\%$ of the cylindrical body can hold the dirt from cleaning, how much dirt can the new upright vacuum hold?

Use a diagram to visualize the dimensions of the cylinder.

Recall the equation for the circumference.
$75\%$ of the body refers to $75\%$ of the volume.
$≈ 350.94$ cubic inches