Question

You are selling lemonade. You have two containers. The prism container has a base 3 inch x 3 inch, and a height of 9 inches. The cylinder container has a radius of 1.75 inches and a height of 9 inches. You charge the same for each. I can’t make up my mind. Which one will you try to sell me? and Why?

Answer 1

I'll try to sell the prism container, to charge the same and save lemonade

Explanation:

step 1

Find the volume of the prism container

The volume of the prim is given by

`V=LWH`

substitute the given values

`V=(3)(3)(9)=81\ in^3`

step 2

Find the volume of the cylinder container

The volume of the cylinder is given by

`V=\pi r^2 h`

substitute the give values

assume

`\pi=3.14`

`V=(3.14)(1.75)^2 (9)=86.5\ in^3`

step 3

Compare the volumes both containers

The volume of the cylinder container is greater than the volume of the prism container

therefore

I'll try to sell the prism container, to charge the same and save lemonade