Answer:
The maximum volume of cone is 138.25 m³
m
m
Step-by-step explanation:
A right circular cone whose hypotenuse is m
It is revolved about one leg to generate a right circular cone.
Let radius be r m and height be h m
For right angle triangle,
Volume of generated cone
Differentiate w.r.t h
For maximum/minimum
<em>Using double derivative test </em>
At
so get maximum volume.
Dimension of cone:
m
m
The maximum volume of cone is 138.25 m³
Using order of operations, I simplified this down to -24+22a.
I hope this helps, and let me know if you need more explanation!
12:36 for the first one
6:21 for the second one
And 21:15 because let's say that for every 7 cans that a group gets , the other group gets 5