A cone has a radius of 1 foot and a height of 2 ft. how many clones of liquid would it take to fill a cylinder with a diameter of 2 ft and a height of 2 feet

Short Answer: 1

Remark

You could do this by comparing volumes through a proportion and that is likely the quickest way to get an answer. But it is also difficult to understand so I will do this by comparing volumes.

Step one

Find the volume of the small cone

Givens

r = 1 foot

h = 2 feet

pi = 3.14

Formula

V = 1/3 pi r^2 h

Sub and solve

V = 1/3 3.14 1^2 * 2

V = 2.09333

Step Two

Find the volume of the Large Cone

Givens

r = d/2 = 2/2 = 1 foot

h = 2 feet.

We can stop right here. The cones are exactly the same volume.

Answer: 1