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Show that the relative error in computin...

Show that the relative error in computing the volume of a sphere, due to an error in measuring the radius, is approximately equal to three times the relative error in the radius.

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The correct Answer is:
`(3 Delta r)/(r)`
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ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -QUESTION FOR PRACTICE PART - V (SHORT ANSWER TYPE QUESTIONS )
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  2. Using differentials, find approximate value sqrt(49.5)

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  3. Find an approximate value of sqrt(16.04) using differential.

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  6. Using differentials, find approximate value (255)^(1//4)

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  8. Using differentials, find approximate value (0.999)^((1)/(10))

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  9. Using differentials, find approximate value (1.999)^(5)

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  10. Using differentials, find approximate value sqrt(0.082)

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  11. Using differentials, find approximate value (81.5)^(1//4)

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  12. Using differentials, find the approximate value of tan 46^(@), if it b...

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  13. Using differential, find approximately the difference between the volu...

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  14. Find approxiamately the difference between the volumes of two cubes of...

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  15. Find the approximate change in the volume V of a cube of side x m caus...

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  16. Find the approximate change in the volume V of a cube of side x m caus...

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  17. Find the approximate change in the volume V of a cube of side x m caus...

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