Simplify the expression
1 answer:
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Let's make this simple. Let's have the small cone have a radius 1 and the height 1. This would make the bigger cone have a radius of 1 and the height of 2.
With this information, lets get the volume of both cones. The formula is this:
Plug in numbers:
Small cone:
Big cone:
The small cone has a volume of
The big cone has a volume of
Now, you want to find how many small cones you need to have the same total volume of the big cone.
You have the difference of pi over 3 comparing the big cone to the small one. You realize that the small cone has the same volume of that. Therefore, you need 2 small cones to have the same total volume as the larger cone
With this information, lets get the volume of both cones. The formula is this:
Plug in numbers:
Small cone:
Big cone:
The small cone has a volume of
The big cone has a volume of
Now, you want to find how many small cones you need to have the same total volume of the big cone.
You have the difference of pi over 3 comparing the big cone to the small one. You realize that the small cone has the same volume of that. Therefore, you need 2 small cones to have the same total volume as the larger cone