Elitmus
Exam
Numerical Ability
Area and Volume
What is the maximum value ofa right circular cone, which can be cut from a solid cuboid having dimensions 12x10x15?
a)100π
b)120π
c)125π
d)225π
Read Solution (Total 7)
-
- for maximum volume,
take greatest dimension of the cuboid for height of cone
so,height of cone = h = 15
maxm radius will be 10/2= 5 [not 12/2]
volume of cone=(1/3)*pi*r^2*h=(1/3)*pi*(5*5)*15 = 125pi
- 10 years agoHelpfull: Yes(21) No(4)
- it is 125n
- 10 years agoHelpfull: Yes(3) No(1)
- but we have to maximize volume. Hence r should be maximum..so, r = 15/2 = 7.5
and height = 12
volume 1/3 * (7.5)^2 *12 = 225 pi - 10 years agoHelpfull: Yes(1) No(2)
- max volume=1/3*(pi)*(5^2)*15=125*pi.
since max radius can be= 5. height=15 - 10 years agoHelpfull: Yes(0) No(1)
- Why maxm radius will not be 12/2 ? @rakesh
- 10 years agoHelpfull: Yes(0) No(0)
- of the dimension 15*10 u cannot carve out a cone of 7.5 rad..!! max it can be 5 i.e. 10/2
- 10 years agoHelpfull: Yes(0) No(0)
- ans is : d) 225
- 10 years agoHelpfull: Yes(0) No(0)
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