A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. The diameter of the hemisphere is 14 cms, and the total height vessel is 3 cms. Find the outer surface area of the vessel

• The conditions you state appear to be impossible. If the diameter of the hemisphere is 14cm, then its radius is 7cm and the total height must be greater than 3cm.
  
  Either you've dropped a decimal point and the hemisphere's diameter is 1.4cm, or the height of 3cm is the height of the cylindrical portion rather than the total height. (Or there's some other error, less obvious than those two possibilities.)
  
  At any rate, if you straighten out the measurements, the outer surface area shouldn't be too hard to figure out. The hemisphere's radius is half the diameter, and the area of the hemispherical portion is half that of a complete sphere with that radius, so it's
  (4/3) π r^2 / 2 = (2/3) π r^2
  where r is the radius.
  
  The area of the cylindrical portion is just the circumference of the cylinder times its height, because the cylinder could be "unrolled" to form a rectangle. The circumference of the cylinder is
  2π r
  where r is the same radius as for the hemisphere, so the total outer surface area of the vessel is
  (2/3) π r^2 + 2π rh
  where h is the cylinder height.
  
  This can be simplified by factoring out 2π r to get
  2π r (r/3 + h)
  
  Just figure out the correct values for r and h, plug them into this, and you've got it.
• 12 years agoHelpfull: Yes(3) No(2)
• given height=3cm,let height of the cylinder =h then
  h+r=3 or h=3-r
  S.A.=2*(22/7)*r*(3-r)+2*(22/7)*r*r
  substiute r=7
• 13 years agoHelpfull: Yes(2) No(4)
• use 2*pi*r*h formula..
  ans=42
• 13 years agoHelpfull: Yes(0) No(1)
• plz explain clearly
  
• 12 years agoHelpfull: Yes(0) No(0)
• please explain it
• 12 years agoHelpfull: Yes(0) No(0)
• this question is asked in TCS
  
  height is 30 not 3..
  now solve this
• 12 years agoHelpfull: Yes(0) No(0)
• area of vesssal 4
  *pi*r^2/2+4pi*r^2*h ....z answer
• 12 years agoHelpfull: Yes(0) No(0)
• as height of cylinder is 16cm
  so surface area of cylinder is 2*pi*14*16=1408cm
• 5 years agoHelpfull: Yes(0) No(0)