Question

A company is deciding which can size to use for their soup. The first can has a radius of 1 . 5 inches and a height of 6 inches. The second can has a radius of 3 inches and a height of 3 inches.

Answer 1

A company can use the first can for their soup as that will cost less to the company.

Explanation:

Given: The first can has a radius of 1.5 inches and a height of 6 inches. The second can has a radius of 3 inches and a height of 3 inches.

To find: The can that a company can use to use for their soup.

Solution:

Let r, h denote radius and height of the first can and R, H denote radius and height of the second can.

`r=1.5\,inches\,,\,h=6\,inches\,,\,R=3\,inches\,,\,H=3\,inches`

Volume of the first can =
`\pi r^2h=\pi (1.5)^2(6)=13.5\,\,square\,\,inches`

Volume of the second can =
`\pi R^2H=\pi (3)^2(3)=27\,\pi\,\,square\,\,inches`

So,

Volume of the first can
`<` Volume of the second can

A company can use the first can for their soup as that will cost less to the company.