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The radius of a sphere is 5 cm. If an er...

The radius of a sphere is 5 cm. If an error of 0.02 cm is made in the radius then the error in its surface area is

A

`0.8pi`

B

`8pi`

C

`0.4pi`

D

`80pi`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-ERRORS AND APPROXIMATIONS-PRACTICE EXERCISE
  1. If there is an error of 0.01 cm in the diameter of a sphere when its r...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Let P be the pressure and V the volume of a gas such that PV = constan...

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  16. If S=(1//2)ab""sinC and alpha is the error in C then, relative error i...

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  17. An electric current 'C' is measured by tangent galvanometer. The relat...

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  18. If f(x)=x^(2)+x,x=10,deltax=0.1 abserve the following Statement-I de...

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  19. If f(x)=2x^(2)+3x-5,x=3,deltax=0.1 then deltaf=A (2) If f(x)=x^(2)+4...

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  20. Radius of a sphere is 2 cm and error in it is 1/10 cm then arrange the...

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