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

• 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
• 11 years agoHelpfull: Yes(42) No(4)
• 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
• 11 years agoHelpfull: Yes(17) No(2)
• max v= 225pi
  h=12
  r=7.5
  v =1/3*pi*(7.5)^2*12
  =1/3*pi*675
  =225pi.
• 11 years agoHelpfull: Yes(11) No(17)
• 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
• 11 years agoHelpfull: Yes(7) No(1)
• h=15
  r=5(10/2)
  volume=(15/3)*(5*5)=125pi
• 11 years agoHelpfull: Yes(2) No(1)
• 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
• 10 years agoHelpfull: Yes(1) No(1)
• H=15
  r=10/2
  Volume of cone=5^2*15pi/3=125pi
• 9 years agoHelpfull: Yes(1) No(0)
• 2) 120pi
  
  (1/3)pi(12/2)^2*10
• 11 years agoHelpfull: Yes(0) No(2)
• 125pi with the help of multiplication
  
  
• 10 years agoHelpfull: Yes(0) No(2)
• 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.
  
• 10 years agoHelpfull: Yes(0) No(1)
• 120pi
  15 is slant height
  1/3*pi*6^2*10
• 10 years agoHelpfull: Yes(0) No(1)