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17 votes

\color {white}\boxed{\colorbox{black} { QUESTION♡}}

​ ​ A hemispherical bowl of internal diameter 30 cm contains liquid liquid is to be filled into a cylindrical shape bottles each of diameter 5 cm and height 6 cm find the number of bottles necessary to empty. the bowl ??
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User Kumar Nitesh
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1 Answer

17 votes
17 votes

60 bottles required.

calculate the volume of both shapes

For hemispherical bowl:


\sf volume: (2)/(3) \pi r^3 [diameter: 30 cm, radius: 15 cm]


\rightarrow \sf volume: (2)/(3) \pi (15)^3


\rightarrow \sf volume: 2250\pi \ cm^3

For each cylindrical bottles:


\sf volume: \pi r^2h ["r" is 2.5 cm, "h" is 6 cm]


\rightarrow \sf volume: \pi (2.5)^2(6)


\rightarrow \sf volume: 37.5 \pi \ cm^3

So number of required bottles:

  • volume of hemisphere/volume of each cylindrical bottle
  • 2250π/37.5π
  • 60 bottles
User Matt Melton
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