Latest Elitmus Aptitude Question SOLUTION: What is the maximum volume of a right circular cone which can be cut from a solid cuboid of dimensions 12*10*15? (π is PI) a.100π b.120π c.125π d.225π

• Placement Papers
• /
• Elitmus
• /
• Numerical Ability
• /
• Area and Volume

Elitmus Question Papers:

(#M40037945) ELITMUS Numerical Ability question Keep an EYE

What is the maximum volume of a right circular cone which can be cut from a solid cuboid of dimensions 12*10*15? (π is PI)

a.100π

b.120π

c.125π

d.225π

Asked In Elitmus Liti (9 years ago)

Unsolved Read Solution (9)

Is this Puzzle helpful?   (6)   (6) Submit Your Solution Area and Volume

Read Solution (9) :

RAKESH  (9 years ago)

c. 125π
for maximum volume, take greatest dimension of the cuboid for height of cone
so, h = 15
maxm radius will be 10/2 = 5 [not 12/2, bcoz of the dimension 12*10 u can't cut a cone of radius 12/2 = 6 ]

maxm volume of cone =(1/3)*pi*r^2*h=(1/3)*pi*(5*5)*15 = 125pi

Is this solution Helpfull? Yes (38) | No (1)  

Sudeep Sahu  (9 years ago)

take radius maximum i.e. r=7.5 (diameter=15)
and take height=12
volume= 1/3*pi*7.5*7.5*12
=225*pi

Is this solution Helpfull? Yes (4) | No (5)  

mohit tuteja  (9 years ago)

it can be 125pi..
volume is 1/3pi r^2 h
so h would be 15
and r would be 10/2=5
so volume is 125pi

Is this solution Helpfull? Yes (2) | No   

chander  (9 years ago)

if we take radius as 15 and height height =12
so vol. is 225n

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

Ashmit Kumar  (9 years ago)

instead of cube if we take a rectangle of 10 cm length and 12 cm breadth then we are able to cut a circle of diameter of 10 cm not of 12 cm. so radius will be 5 cm. instead of this if we take a rectangle of length 12 cm and breadth of 15 cm then volume will be less then the previous one.
here radius=5cm and height=15 cm.
vol=1/3(pi*r^2*h).=1/3(pi*5*5*15)=125pi.

Is this solution Helpfull? Yes (1) | No   

Ranjeet  (9 years ago)

Rakesh r u fresher?from wch clg u r?

Is this solution Helpfull? Yes | No (2)  

LOKESH RANJAN  (9 years ago)

c,as let us take the highest dimension be height of cone i.e h=15,max radii=10/2=5
so max vol.=1/3*pi*r^2*h=125pi

Is this solution Helpfull? Yes | No   

vibhu raj gupta  (9 years ago)

rakesh can u explain why from the dimension 10*12 we can't cut a cone of radius 6

Is this solution Helpfull? Yes | No   

AJEET  (9 years ago)

explain this..

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.