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A sphere of radius 100man shrinks to radius 98mm, then the approximate decrease in its volume is `12000pim m^3` (b) 800 `pim m^3` `8000pim m^3` (d) `120pim m^3`

A

`12000 pi mm^(3)`

B

`800 pi mm^(3)`

C

`80000 pi mm^(3)`

D

`120 pi mm^(3)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Exercise
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  2. If there is an error of a% in measuring the edge of a cube, then pe...

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  3. If an error of k % is made in measuring the radius of a sphere, then p...

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  4. The height of a cylinder is equal to the radius. If an error of alpha%...

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  5. While measuring the side of an equilateral triangle an error of k % is...

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  6. Use differentials to find the approximate value of (log)e(4. 01), havi...

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  7. A sphere of radius 100man shrinks to radius 98mm, then the approximate...

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  8. If the ratio of base radius and height of a cone is 1:2 and percentage...

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  9. The pressure P and volume V of a gas are connected by the relation P V...

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  10. If y=x^n , then the ratio of relative errors in ya n dx is 1:1 (b) 2...

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  11. The approximate volume of (33)^(1/5) is 2.0125 (b) 2.1 (c) 2.01 ...

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  12. The circumference of a circle is measured as 28cm with an error of ...

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  13. If angles A,B,C o /\ABC asre cute show that cos^2A+cos^2B+cos^2Clt1

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  14. If there is an error of 0.01 cm in the diameter of a sphere, then perc...

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  15. If 1^(@)=0.017 radians, then the approximate value of sin46^(@) , is

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  16. Using differentials, find the approximate value of sqrt(401)

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  17. Using differentials, the approximate value if (627)^(1//4), is

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