Question

If the volume of a sphere be V cubic-units, then the radius of the sphere will be
A. `((3V)/(4pi))^(3)` unit
B. `(3V)/(4pi)` unit
C. `sqrt((3V)/(4pi))` units
D. `root(3)((3V)/(4pi)` units

Answer 1

Let the radius of the sphere be r units
`therefore` the volume of the sphere `=(4)/(3)pir^(3)` cubic-units
As per question ,`(4)/(3)pir^(3)=V "or ," r^(3)=(3V)/(4pi) "or" , r=root(3)((3V)/(4pi)`
`therefore` (d) is correct.