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

Respuesta :

Answer:

12 Scoops

Step-by-step explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders [tex]=4*\pi r^2h[/tex]

The scoop is cone shaped and:

Volume of the Cone Scoop [tex]=\frac{1}{3} \pi r^2h[/tex]

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

[tex]=\dfrac{4*\pi r^2h}{\frac{1}{3} \pi r^2h} \\=4 \div \frac{1}{3}\\=12[/tex]

It will take 12 Scoops to fill the 4 buckets.