167k views
3 votes
21. How many times larger is the volume of a cone if the height is multiplied by 3?

1 Answer

5 votes

Answer:

If the height is tripled and the radius remains constant, then the volume will be tripled or multiplied by 3.

Explanation:

An example proving this:

Fill the cones with water and empty out one cone at a time. Each cone fills the cylinder to one-third quantity. Hence, such three cones will fill the cylinder. Thus, the volume of a cone is one-third of the volume of the cylinder.

So, the height is divided by three in the volume formula. Therefore, it is to be proven that if the height of a cone is tripled and the radius remains constant, the volume would also be tripled.

User Hamza Khursheed
by
8.3k points

No related questions found