Question

As a construction worker, you are building a cylindrical grain silo with a radius of 10 meters and a volume of 6,280 cubic meters.

Which formula will determine the height of the silo? Rounded to the nearest whole number of meters, what is the height of the silo?
, 6 meters
, 14 meters
, 20 meters
, 25 meters
, 80 meters

Answer 1

`h=(V)/(\pi r^(2) )`, 20 meters

Explanation:

The formula for the volume of the silo is:
`V=\pi r^(2) h`

You are given:

Volume= 6,280 cubic meters

Radius= 10 meters

Therefore, you can solve for the height by getting h on it's own side.

The formula for the height of the silo is given by:
`h=(V)/(\pi r^(2) )`

Now solve using the given values:
`h=(6,280)/(\pi (10)^(2) )`

The height of the silo = 20 meters