The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1 % the maximum error in determining the density is

Options

A. `2.5%`
B. `3.5%`
C. `4.5%`
D. 0.06

Explanation

Density of cube `=rho=("Mass M")/("Volume V")`
`=(M)/((4)/(3)pir^(3))`
`:.` Percentage error in density
`=(Delta rho)/(rho)xx100%`
`=(DeltaM)/(M)xx100%+3(Deltar)/(r)xx100%`
`=1.5%+3xx1%`
`=4.5%`