The value of cube root of 1001 upto five decimal places is

Options

A. 10.03333
B. 10.00333
C. 10.00033
D. none of these

Explanation

`(1001)^(1//3)=(1000+1)^(1//3)=10(1+1/(1000))^(1//3)=10{1+1/(3)1/(1000)+(1//3(1//3-1))/(2!)(1)/(1000^2)+....}`
=10{1+0.00003333-0.00000011+…..}=10.00333