Three solid spheres have their radii `r_(1),r_(2)`and`r_(3)` .The spheres are melted to form a solid sphere of bigger radius of the new sphere is:

Options

A. `(r_(1) + r_(2) + r_(3))`
B. `(r_(1)^(2) + r_(2)^(2) + r_(3)^(2))^((1)/(2))`
C. `(r_(1)^(3) + r_(2)^(3) + r_(3)^(3))^((1)/(3))`
D. `(r_(1)^(4) + r_(2)^(4) + r_(3)^(4))^((1)/(4))`

Answer

C