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.
