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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 - Mathematics

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प्रश्न

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

योग
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उत्तर

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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Linear Approximation and Differentials
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Differentials and Partial Derivatives - Exercise 8.2 [पृष्ठ ६८]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 8 Differentials and Partial Derivatives
Exercise 8.2 | Q 6 | पृष्ठ ६८

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