Question

Darla has four buckets shaped like cylinders she is filling the buckets with water by using a scoop shaped like a cone if the cone has the same radius and the same height as the buckets how many scoops will it take her to fill the four buckets

Answer 1

12 Scoops

Explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders
`=4*\pi r^2h`

The scoop is cone shaped and:

Volume of the Cone Scoop
`=(1)/(3) \pi r^2h`

Since the radius and height of the cone scoop and cylindrical buckets are the same,

The number of Cone Scoops it will take to fill the buckets is:

Total Volume of Buckets/Volume of Cone Scoops

`=(4*\pi r^2h)/((1)/(3) \pi r^2h) \\=4 / (1)/(3)\\=12`

It will take 12 Scoops to fill the 4 buckets.