Question

the error in the measerment of radius of sphere 2% what woulf br the errorvin the volume of the sphere​

Answer 1

Given :

▪ Percentage error in measurement of radius of sphere = 2%

To Find :

▪ Percentage error in measurement of volume of sphere.

SoluTion :

↗ Volume of solid sphere :

• V = 4/3 × πr³

where,

V denotes volume of sphere

r denotes radius of sphere

❇ Percentage error in measurement of volume is given by

→ %(ΔV/V) = 3 × %(Δr/r)

where,

▪ %(ΔV/V) denotes percentage error in measurement of volume of sphere.

▪ %(Δr/r) denotes peecentage error in measurement of radius of sphere.

Given : %(Δr/r) = 2%

→ %(ΔV/V) = 3 × %(Δr/r)

→ %(ΔV/V) = 3 × (2%)

→ %(ΔV/V) = 6%