The percentage error in the calculated volume of a sphere,if there is $2\%$ error in its diameter measurement,is . . . . . . .

  • A
    $1$
  • B
    $2$
  • C
    $6$
  • D
    $8$

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Similar Questions

$A$ physical quantity $X$ is given by $X = \frac{2k^3l^2}{m\sqrt{n}}$. The percentage errors in the measurements of $k, l, m$ and $n$ are $1\%, 2\%, 3\%$ and $4\%$ respectively. The value of $X$ is uncertain by .......... $\%$

If the error in the measurement of the radius of a sphere is $2\%$,then the error in the determination of the volume of the sphere will be ........ $\%$

Explain the statement: "The accuracy of a measurement cannot be determined by absolute error,but only by percentage error."

$A$ physical quantity $x$ is calculated from the relation $x = \frac{a^2 b^3}{c \sqrt{d}}$. If the percentage errors in $a, b, c,$ and $d$ are $2\%, 1\%, 3\%,$ and $4\%$ respectively,what is the percentage error in $x$?

The length of a pendulum is measured as $1.01 \ m$ and the time for $30$ oscillations is measured as $1 \ minute \ 3 \ s$. The error in length is $0.01 \ m$ and the error in time is $3 \ s$. The percentage error in the measurement of acceleration due to gravity is: (in $\%$)

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