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

• 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
  
• 9 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
• 9 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
• 9 years agoHelpfull: Yes(2) No(0)
• if we take radius as 15 and height height =12
  so vol. is 225n
• 9 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.
• 9 years agoHelpfull: Yes(1) No(0)
• Rakesh r u fresher?from wch clg u r?
• 9 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
• 9 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
• 9 years agoHelpfull: Yes(0) No(0)
• explain this..
• 9 years agoHelpfull: Yes(0) No(0)