. The volume and the radius of both cone and sphere are equal , then find the ratio of height of the cone to the diameter of the sphere?
(a)1:2 (b) 3:2 (c)2:1 (d)none of these

• If h is height of cone and r is radius of cone and sphere, then
  Volume of cone: (1/3)π*R^2 *h
  Volume of sphere: (4/3)πR^3
  
  Problem says the two volumes are equal, so:
  
  (1/3)π(R^2)*h = (4/3)π(R^3)
  h= 4R = 2D where D is diameter of cone/sphere
  h/D = 2/1
  
  Hence option ( C) 2:1
• 13 years agoHelpfull: Yes(45) No(0)
• VOL OF SPHERE = VOL OF CONE
  (4/3)*PI*R3 = (1/3)*PI*R2*H
  H = 4*R
  H = 2*D
  H:D = 2:1
  OPTION C)2:1
• 13 years agoHelpfull: Yes(6) No(1)
• yeah dipin is rit....i have made a small mistake....its h=4r nt h=r
• 13 years agoHelpfull: Yes(3) No(0)
• Given volume & radius of both cone nd sphere are equal
  i.e;1/3(pie)(square(r))h = 4/3(pie)(cube(r))
  on solving this we get, h=r
  we know that diameter=2(radius)
  on substituting we get, h=d/2
  hence h:d=1:2 ans is a)
• 13 years agoHelpfull: Yes(1) No(12)
• Option c
  H/2r=2
• 9 years agoHelpfull: Yes(0) No(0)