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A sphere is made of ice having radius 10 cm. Its radius decreases from 10 cm to 9.8 cm. Find approximations for the following: - Mathematics

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प्रश्न

A sphere is made of ice having radius 10 cm. Its radius decreases from 10 cm to 9.8 cm. Find approximations for the following:

Change in the volume

योग

उत्तर

Given r = 10

dr = 10 – 9.8 = 0.2

Volume v = `4/3 pi"r"^3`

dv = `4/3 * 3pi"r"^2"dv"`

Change in thhe volume

v(10) – v(9.8) = 4π(10)2(0.2)

= 80π cm3 

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Linear Approximation and Differentials
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Differentials and Partial Derivatives - Exercise 8.1 [पृष्ठ ६४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 8 Differentials and Partial Derivatives
Exercise 8.1 | Q 5. (i) | पृष्ठ ६४

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