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A hemispherical metal bowl has internal radius 5 cm and external radius 6 cm. Find the volume of metal used to make it, in cubic centimetres, correct to two decimals. (Take π = 3.14.)

Class 10Volume of Combined SolidsMensuration
  • A380.99
  • B452.16
  • C2.09
  • D190.49

Step-by-Step Solution

The metal is the outer hemisphere minus the hollow inner hemisphere: . 380.99 uses instead of , i.e. treats each shell as a full sphere; 452.16 is the outer hemisphere alone with nothing hollowed out; 2.09 comes from cubing the difference of the radii, , instead of taking the difference of the cubes.
Answer: D) 190.49

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