Latest Elitmus Aptitude Question SOLUTION: Find the maximum volume a right circular cone that can fit inside a cuboid of size 10x15x12.

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(#M40164750) ELITMUS Numerical Ability question Geometry Keep an EYE

Find the maximum volume a right circular cone that can fit inside a cuboid of size 10x15x12.

Asked In Elitmus Wali Nusker (6 years ago)

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Read Solution (3) :

Ravi Singh Kushwaha  (6 years ago)

Since base circle will be in 2-D and so radius will be 5 in 10x12 plane and height will be 15 for the vol to be maximum.
So max possible vol is
1/3*π*5*5*15= 125π

Now I'll make some comments, it will be helpful to visualize the situation.

1. why 15/2 will not be r because it will be a circle in 2D and none of the other side is 15 or greater.

2. If you will take r=6 then height can't be 15. Because again in 10x12 plane circle is not possible with r=6. If you will take r=6 then height will be 10. Then ans will be 120π.

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Adil khan  (6 years ago)

formula is 1/3 pie*r^2*h
so clearly if r will be max so volume will be max
so take breadth as a base of cone the radius will be= 15/2 and take width as a hieght
volume will =1/3*15/2*15/2*12*pie
ans would be 225pie

Is this solution Helpfull? Yes (1) | No (10)  

Amit  (6 years ago)

put r=6 and h=15 calculate

volume of cone as = 1/3*r*r*h*pie
answer would be=180pie

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