The error in the measurement of the radi...

The error in the measurement of the radius of a sphere is `1%`. Find the error in the measurement of volume.

A

`2%`

B

`3%`

C

`6%`

D

`4%`

Verified by Experts

The correct Answer is:

B

`(Deltar)/(r )xx100=1%`
`"Volume of shere V"=(4)/(3)pir^(3)`
Error in the measurement of volume
`(DeltaV)/(V)xx100=3(Deltar)/(r )xx100=3xx1=3%`

Similar Questions

Explore conceptually related problems

If error in measurement of radius of a sphere is 1%, what will be the error in measurement of volume?

Error in the measurement of radius of a sphre is 1%. Then maximum percentage error in the measurement of volume is

If the error in the measurement of the volume of a sphere is 6% then the error in the measurement of its surface area will be

If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

The error in the measurement of the radius of a sphere is 0.2%. What is the percentage error in the measurement of its surface area?

The error in the measurement of the radius of a sphere is 2%. What will be the error in the calculation of its surface area?

The error in measurement of radius of a sphere is 0.1% then error in its volume is -

Errror in the measurement of radius of a sphere is 1% .The error in the calculated value of its volume is