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Question
An egg of a particular bird is very nearly spherical. If the radius to the inside of the shell is 5 mm and the radius to the outside of the shell is 5.3 mm, find the volume of the shell approximately
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Solution
Radius of the inside shell = 5 mm
Radius of the outside shell = 5.3 mm
Volume V = `4/3 pi"r"^3`
dV = `4/3` π3r2dr
= 4 π 5 × 5 × 0.3
= 100π × 0.3
= 30π
Approximate volume of the shell = 30 mm3
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