Question

error in the measurements of the diameter of a sphere with screw gauge is 0.5% .The error in its volume become ​

Answer 1

1.5 % is the correct answer...

Answer 2

Answer:

The error in the volume become 1.5%

Explanation:

GIVEN

Error in the measurement of the diameter of a sphere with screw gauge is 0.5%.

To find: Error in the volume.

SOLUTION:

Volume of a sphere=4/3πr^3

Change in volume due to error is Δv/v, Change in radius =Δr/r

∴ Δv/v=3Δr/r

⇒Δv/v*100=3Δr/r*100

⇒Δv/v*100=3*0.5

⇒Δv/v*100=1.5%

The error in the volume becomes 1.5%.

#SPJ3