Question

The diameter of a wrecking ball used to tear down buildings is 3.5 ft. what is the volume ( to the nearest hundredth)

Answer 1

A wrecking ball is basically a sphere. So, to solve this problem we are going to use the volume formula for a sphere:
`V= (4)/(3) \pi r^(3)`
where

`r` is the radius of the sphere

We know for our problem that the diameter of the wrecking ball is 3.5 ft, so
`d=3.5`. To find its radius, we'll use the formula
`r= (d)/(2)`:

`r= (3.5)/(2)`

`r=1.75`

Now we can replace the radius in our formula to find the volume of our wrecking ball:

`V= (4)/(3) \pi r^(3)`

`V= (4)/(3) \pi (1.75)^(3)`

`V=22.45`

We can conclude that the volume of our wrecking ball is 22.45
`ft^(3)`.