The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in measurement of mass and diameter are `2%` and `3%` respectively then the maximum percentage error in the measurement of density is

Answer

11

Explanation

The density can be computed by:
`rho = m/v = m/((pid^(3))/6)`
or `rho prop m/d^(3)`
`therefore (Deltarho)/rho xx 100% = (Deltam)/m xx 100 % + 3(Deltad)/d xx 100%`
or `(Deltarho)/rho xx 100 = 2 + (3 xx 3) = 11`
Hence, the percentage error in measurement of density is 11%