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Probability

Question
CBSEENMA9003715

The outer diameter of a spherical shell is 10 cm and the inner diameter is 8 cm. Find the volume of the metal contained in the shell.

Solution

Outer radius (R) = 10 over 2 space straight m space equals space 5 space straight m
Inner radius (r) = 8 over 2 space straight m equals 4 space straight m
∴ Volume of the metal contained in the shell
equals 4 over 3 πR cubed minus 4 over 3 πr cubed
equals space 4 over 3 straight pi left parenthesis 5 right parenthesis cubed minus 4 over 3 straight pi left parenthesis 4 right parenthesis cubed
equals 4 over 3 straight pi left parenthesis 125 minus 64 right parenthesis
equals 4 over 3.22 over 7.61
equals space 255.62 space straight m cubed