Question

10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point

dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*

Answer 1

The volume of the slat-sand mixture is
`157000\ \text{feet}^3`.

Explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

`V=(1)/(3)\pi r^2h`

r is radius of cone, r = 50 feet

So,

`V=(1)/(3)* 3.14* (50)^2* 60\\\\V=157000\ \text{feet}^3`

So, the volume of the slat-sand mixture is
`157000\ \text{feet}^3`.