Option 2 in the given figure will have a maximum volume of 5120π cubic meters.
What is volume?
Volume is defined as the space occupied by any object in the three-Dimensions. To find out the volume of the cylinder we need the length and diameter of the cylinder.
The volume of the first figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 10² ) 64 = 1600π cubic meters
The volume of the second figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 32² ) 20 = 5120π cubic meters
The volume of the third figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 10² ) 128 = 3200π cubic meters
We can see that the volume of the third figure is maximum.
Therefore Option 2 in the given figure will have a maximum volume of 5120π cubic meters.
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