Question

The largest sphere is curved out of a cube of side 7cm. then the volume of the sphere is??????

Answer 1

Solution:
Given: The largest sphere is curved out of a cube of 7cm.

∴The length of the side of square= diameter of square
                                                         ∴d=7cm
                                                       =>r=7/2cm
We know that, volume of sphere= 4/3$\pi$r³
                                                             = 4/3 x 22/7 x (7/2)³
                                                             = 4/3 x 22/7 x 7/2  x 7/2 x 7/2
                                                             = 4/3 x 22 x 1/2 x 7/2 x 7/2 
                                                             = 2/3 x 22 x 7 x 7/2
                                                             = 2/3 x 22 x 7 x 7
                                                             = 2/3 x 22 x 49
                                                             = 2/3 x1078
                                                             = 2156/3
                                                             = 718.66...
                       ∴ Volume of sphere = 718.67cm³