Latest Elitmus Aptitude Question SOLUTION: Q. What is maximum volume of right circular cone which can be cut from solid cuboid dimenssion 12*10*15 Option 1)100pi 2)120pi 3)125pi 4)225pi

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(#M40031192) ELITMUS Logical Reasoning question Keep an EYE

Q. What is maximum volume of right circular cone which can be cut from solid cuboid dimenssion 12*10*15

Option
1)100pi
2)120pi
3)125pi
4)225pi

Asked In Elitmus ranjeet singh (10 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

N Arun Singh  (10 years ago)

from the given dimensions ..we will get h=15,r=5(10/2)
volume=pi(5*5)(15/3)
=125pi
any one with same ans

Is this solution Helpfull? Yes (42) | No (4)  

Priyansh   (10 years ago)

125pi is the correct answer.... we have three dimensions,, thus for the frst face of the cuboid (10 x 12) as the base then the diameter of the circle is 10 unit (not 12 units as it shud be inside the rectangle) so vol. is 1/3*pi*(5)^2*15 = 125pi.. now the secnd face of the cuboid on which the base of cone can reside let be 12 x 15 face ,,,, so the radius diameter here will be 12 only not 15 ,, (same reason),, so vol be 1/3*pi*(6^2)*10 and for the next face (15 x 10) the vol will be 100pi ,,,, so the max volume can be 125pi

Is this solution Helpfull? Yes (17) | No (2)  

Tarun Sharma  (10 years ago)

max v= 225pi
h=12
r=7.5
v =1/3*pi*(7.5)^2*12
=1/3*pi*675
=225pi.

Is this solution Helpfull? Yes (11) | No (17)  

mutya sai srikar  (10 years ago)

for maximum volume we have to take maximum of the cuboid dimensions for height and it is 15. height of cone = 15
and for radius the maximum can be min(10,12)/2.
so radius=5.
volume of cone=(1/3)*pi*(5*5)*15=125pi

Is this solution Helpfull? Yes (7) | No (1)  

DEBASHIS PANDA  (10 years ago)

h=15
r=5(10/2)
volume=(15/3)*(5*5)=125pi

Is this solution Helpfull? Yes (2) | No (1)  

julee verma  (10 years ago)

here given that l=12,b=10,h=15
so volume of circular cone =1/3pi*r^2*h
h=15 and d=b=10 so r=10/2=5
hence volume will be 125pi

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

Shraddha Kakde  (8 years ago)

H=15
r=10/2
Volume of cone=5^2*15pi/3=125pi

Is this solution Helpfull? Yes (1) | No   

ankur  (10 years ago)

2) 120pi

(1/3)pi(12/2)^2*10

Is this solution Helpfull? Yes | No (2)  

hemanth chowdary  (10 years ago)

125pi with the help of multiplication

Is this solution Helpfull? Yes | No (2)  

Raj Bhandari  (9 years ago)

3. 125pi
Since l=12 (given)
b=10 (given)
& h=15 (given)
hence radius of the base will be 5 atmost.
Hence volume of the cone will be
1/3 X pi X 5X5 X 15 = 125 Pi.

Is this solution Helpfull? Yes | No (1)  

ankit shw  (9 years ago)

120pi
15 is slant height
1/3*pi*6^2*10

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