The percentage error in the measurement of radius is 1%. The error in the calculated values of volume is? - IQ786

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The percentage error in the measurement of radius is 1%. The error in the calculated values of volume is?

The percentage error in the measurement of radius is 1%. The error in the calculated values of volume is?

7%

5%

1%

3%

Explanation

Volume of a sphere (or similar 3D object):

$V = 4/3 π r^^{3}$

So, volume depends on the cube of the radius.
Percentage error in volume = 3 × (percentage error in radius)

$Error in volume = 3 \times 1% = 3%$