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The diameter x of a circle is found by m...

The diameter x of a circle is found by measurement to be 5 cm with maximum error of 0.05 cm. The approximate maximum error in the area is

A

`0.125pi` sq. cm

B

`0.72pi` sq cm

C

`0.05pi` sq cm

D

`0.04pi` sq cm

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The correct Answer is:
A
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AAKASH SERIES-ERRORS AND APPROXIMATIONS-PRACTICE EXERCISE
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  6. In measuring the circumference of a circle, there is an error of 0.05 ...

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  7. If there is an error of 0.01 cm in the diameter of a sphere when its r...

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  8. If there is a possible error of 0.02 cm in the measurement of the diam...

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  9. The radius of a sphere is 5 cm. If an error of 0.02 cm is made in the ...

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  10. If an error of (1/10)% is made in measuring the radius of a sphere, th...

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  11. The approximate percentage error in the volume of a sphere is equal to

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  12. If an error of 0.02 cm is made while measuring the radius 10 cms of a ...

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  13. If ther is an error 0.01 cm in the measurement of the radius 10 cm of ...

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  14. The radius and height of a cylinder are measured as 5 cm and 10 cm res...

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  15. In measuring the radius and height of a cylinder as 5 cm, 10 cm there ...

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  16. If the ratio of the base radius and height of a cone is 1 : 2 and perc...

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  17. In a cube the percentage increase in the side is 1. The percentage inc...

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  18. The percentage error in measuring the side of a cube is 0.5. Then the ...

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  19. If PV^(1//4)=C, then the volume is decreased by 1/2% then the percenta...

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  20. The area of a DeltaABC is calculated by the formula Delta=(1)/(2)ab s...

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