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NEET 2008

Exam: NEET
Year: 2008
Subject: Physics
Chapter: Mathematics in Physics

NEET 2008 · Physics · Mathematics in Physics

If the error in the measurement of radius of a sphere is 2 \% ,...

If the error in the measurement of radius of a sphere is

2 \%

, then the error in the determination of volume of the sphere will be

Options

A $4 \%$
B $6 \%$
C $8 \%$
D $2 \%$

Correct answer

B. $6 \%$

Step-by-step solution

Percentage error in radius is given as 2% i.e. (

\frac{\Delta r}{r} \times

100=2 \%) Volume of sphere (V=

\frac{4 \pi_2}{3}

) Percentage error in volume (

\frac{\Delta \mathrm{V}}{\mathrm{V}} \times

100=3

\times \frac{\Delta \mathrm{r}}{\mathrm{r}} \times

100=3

\times

2=6 \%)

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