anonymous
  • anonymous
A cylinder of diameter 10cm and a height of 20 cm is filled with water . if a sphere of diameter 10 cm is completely submerged inside the cylinder ,what will be the increase in the level of water, in the cylinder?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
1) Find volume of the sphere 2) Equate the volume of sphere with formula of volume of cylinder to find increase in height
anonymous
  • anonymous
V of sphere= (4/3) r^3 =(4/3) 5^3 =500/3
anonymous
  • anonymous
V of cyl=pi r^2h =pi(5^2) (20) =500pi

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anonymous
  • anonymous
@shubhamsrg
shubhamsrg
  • shubhamsrg
Volume of cylinder = pir^2 h = 500pi volume of sphere immersed = 4/3pi r^3 = 500pi/3 New volume of cylinder = Initial cylinder volume + Sphere volume. pi*25*h = 500pi +500pi/3 h = 20(4/3) =80/3 hence change in height = h-20 = 20/3
anonymous
  • anonymous
Thank u @shubhamsrg

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