Question

A city has cone-shaped buildings for storing salt and sand for icy roads. Eachbuilding has a radius of 30 feet and a height of 20 feet. Find the volume of thebuilding. Use 3.14 for T.

Answer 1

The formula for determining the volume of a cone is:

`V_(cone)=(\pi r^2h)/(3)`

where r = radius and h = height of the cone.

Based on the question, the radius = 30ft, the height = 20ft, and to use π = 3.14.

Let's replace the variables in the formula above with their corresponding numerical value.

`V_(cone)=((3.14)(30ft)^2(20ft))/(3)`

Then, solve.

`V_(cone)=(3.14(900ft^2)(20ft))/(3)`
`V_(cone)=(56,520ft^3)/(3)`
`V_(cone)=18,840ft^3`

Therefore, the volume of the building is 18, 840 cubic feet.