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The percentage error in the measurement ...

The percentage error in the measurement of the radius of a sphere is 1.5%. What would be the percentage error in the volume of the sphere ?

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To solve the problem of finding the percentage error in the volume of a sphere given the percentage error in the radius, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Volume of a Sphere**: The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 ...
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AAKASH INSTITUTE ENGLISH-UNITS AND MEASUREMENTS-ASSIGNMENT (SECTION - D)
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  2. A : PARSEC and light year, both measure time R : Both have dimension...

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  3. A : Displacement gradient is a dimensionless quantity. R : Displacem...

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  4. Assertion : Absolute error may be negative or positive. Reason : Abs...

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  5. A : A unitless physical quantity must be dimensionless. R : A pure n...

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  6. A : Absolut error is unitless and dimensionless. R : All type of err...

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  7. A : Higher is the accuracy of measurement, if instrument have smaller ...

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  8. A : The maximum possible error in a reading is taken as least count of...

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  9. A : In a measurement, two readings obtained are 20.004 and 20.0004. Th...

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  10. A : Out of the measurements A = 20.00 and B = 20.000, B is more accura...

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  11. Assertion: When we change the unit of measurement of a quantity, its n...

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  12. A : All physically correct equations are dimensionally correct. R : ...

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  13. A : Physical relations involving addition and subtraction cannot be de...

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  14. A : If displacement y of a particle executing simple harmonic motion d...

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  15. A : An exact number has infinite number of significant digits. R : A...

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  16. A : A dimensionless quantity may have unit. R : Two physical quantit...

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