Question

find the volume of the largest sphere that can be cut out of a cube whose edge is 7cm

Answer 1

let the diameter of the sphere equal to the edge of the cube

Answer 2

Given the largest side of cube as 7cm.
largest side of cube id diameter d =7
radius r =d/2
=7/2
=3.5
volume of the sphere = 4/3 πr3
= 4/3 *(22/7)*(3.5)3
= 4/3 *(22/7)*(3.5)*(3.5)*(3.5)
=179.66 

volume of sphere is 179.66 cm3