Question

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

Answer 1

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