There is an error of $\pm 0.04 \text{ cm}$ in the measurement of the diameter of a sphere. When the radius is $10 \text{ cm}$,the percentage error in the volume of the sphere is

  • A
    $\pm 1.2\%$
  • B
    $\pm 1.0\%$
  • C
    $\pm 0.8\%$
  • D
    $\pm 0.6\%$

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Consider the following statements:
$A$ is the relative error in the area of a square when the relative error in its side is $0.4$.
$B$ is the relative error in the volume of a sphere when the relative error in its radius is $0.3$.
$C$ is the relative error in the surface area of a closed cylinder whose height is equal to its radius,when the relative error in its height is $0.2$.
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