Question

The volume of a sphere is 905 1/7 cm3.Determine its diameter and its surface area.

Answer 1

Volume of sphere = 4/3 x π x r³ = 905 1/7
                                   4/3  x 22/7 x r³ = 905  1/7
                                                          r³ = 905 1/7 x 3/4 x 7/22 = 216
                                                          r = ∛216 = 6 cm

∴ Diameter = 2 x 6 = 12 cm

Surface area of sphere = 4 x π x r² = 4 x 22/7 x 6² = 452.57 cm²

Answer 2

Solution:-
Volume of the sphere = 4/3πr³
905 1/7 = 4/3*22/7*r³
6336/7 = 4/3*22/7*r³
r³ = (6336*7*3)/(4*22*7)
r³ = 133056/616
r³ = 216 
r = ∛216
r = 6 cm 
So, diameter = 6*2 = 12 cm
Surface area of the sphere = 4πr²
= 4*22/7*6*6
= 3168/7
Surface area of the sphere = 452.57 sq cm
Answer.