If the error in the measurement of radiu...

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

A

`8%`

B

`2%`

C

`4%`

D

`6%`

Verified by Experts

The correct Answer is:

D

`(Deltar)/r xx100 = 2%`
Volume `(V) =4/3 pir^3`
`implies ((DeltaV)/V) xx100 = 3 (Deltar)/r xx100 = 3 xx2 = 6%`

Similar Questions

Explore conceptually related problems

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

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

The error in the measurement of radius of a shpere if 2%. What would be the error in the volume of the sphere?

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

The error in the measurement of radius of a sphere in +-4% What would be the error in volume of the sphere?

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