Elitmus
Exam
Numerical Ability
Area and Volume
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
Read Solution (Total 9)
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- 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
- 10 years agoHelpfull: Yes(38) No(1)
- 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 - 10 years agoHelpfull: Yes(4) No(5)
- 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 - 10 years agoHelpfull: Yes(2) No(0)
- if we take radius as 15 and height height =12
so vol. is 225n - 10 years agoHelpfull: Yes(1) No(1)
- 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. - 10 years agoHelpfull: Yes(1) No(0)
- Rakesh r u fresher?from wch clg u r?
- 10 years agoHelpfull: Yes(0) No(2)
- 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 - 10 years agoHelpfull: Yes(0) No(0)
- rakesh can u explain why from the dimension 10*12 we can't cut a cone of radius 6
- 10 years agoHelpfull: Yes(0) No(0)
- explain this..
- 10 years agoHelpfull: Yes(0) No(0)
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