the ratio of radii of cylinder to that of cone is 1:2.heights are qual.find ratio btwn volume

• Let ratio of radius of cylinder to cone=...r1/r2=1/2
  Volume of cylinder=π*r1^2*h
  Volume of cone=π*r2^2*h/3
  Ratio of volumes=3*(r1/r2)^2= 3/4
• 9 years agoHelpfull: Yes(15) No(0)
• let, the radius of the cylinder is r
  the radius of the cone is 2r
  the volume of the cylinder is n(pi)r^2 h
  the volume of the cone is 1/3 n(pi)r^2 h & according to the condition, volume will be 1/3 n(pi)(2r)^2
  as the heights are equal so,
  [n(pi)r^2 h] / [1/3 n(pi)(2r)^2 h]= 3:4
• 9 years agoHelpfull: Yes(9) No(0)
• can you explain another method??//
• 8 years agoHelpfull: Yes(6) No(0)
• Let, Radius of the Cylinder = r1
  Radius of the Cone = r2
  then, r1/r2=1/2
  Volume of cylinder=π*r1^2*h
  Volume of cone=13[π*r2^2*h]
  RATIO BETWEEN VOLUME:
  [π*r1^2*h]
  ---------------
  [13[π*r2^2*h]]
  cancel the similars and get,
  3[r1/r2]^2
  3[1/2]^2
  3[1/4]=3/4........
• 6 years agoHelpfull: Yes(1) No(0)