The density of a sphere is measured by measuring the mass and...

The density can be computed by

$ρ = \dfrac{m}{v} = \dfrac{m}{\dfrac{{\pi d}^{3}}{6}}$

or $ρ ∝ \dfrac{m}{{d}^{3}}$

$∴ \dfrac{∆ ρ}{ρ} \times 100$

or $\dfrac{∆ ρ}{ρ} \times 100 = 2 + 3 \times 3 = 11$

Hence, the percentage error in measurement of density is $11$