An office cooler has the shape of a cylinder with a radius of 9 in the height of the cooler is 22in water is dispensed into paper cups that have the shape of a cone with a radius of 2 in the height of each paper cup is 3 in what is the greatest number of paper cups that can be completely filled from the water cooler

Therefore,

The greatest number of paper cups that can be completely filled from the water cooler is 446 cups.

Step-by-step explanation:

For Cylinder Cooler

Radius = r₁ = 9 in

Height = h₁ = 22 in

For Cone Cups,

Radius = r₂ = 2 in

Height = h₂ = 3 in

To Find:

Number of Paper Cups = ?

Solution:

For a Cylinder we know that

And For a Cone,

Now number of paper cups that can be completely filled from the water cooler will be given as

Substituting the values we get

Substituting the values we get

Therefore,

The greatest number of paper cups that can be completely filled from the water cooler is 446 cups.

step-by-step explanation: