A cylinder of diameter 14 and height 7 is converted into a cone of radius 6. Now, what could be the percentage height of the new shape ?
a. 308%
b. 32%
c. 2150%
d. 215%

• Volume of cylinder = pi X r2 X h = pi X 49 X 7 = 343pi
  Volume of the cone = Volume of cylinder = 343pi -> eq 1
  Volume of cone is given by formula = 1/3 (pi X r2
  X h) = 36/3(pi)(h) =
  12(pi)(h)--> eq 2 (here h is the height of the cone)
  From eq 1 and eq 2 we get 343pi = 12(pi)(h)
  Therefore, height of the cone = 343/12
  Percentage increase in height = ((height of the cone - height of the
  cylinder )/ height of the cylinder) X 100%
  = (343/12 - 7)/7 X 100
  = 259/84 X 100
  = 308% approximately.
• 5 years agoHelpfull: Yes(0) No(0)