The volume of a sphere is `905(1)/7 cm^3`. Determine its diameter, and its surface area.

Explanation

Volume of the sphere`(V) = 905 1/7 cm^3 = 6336/7 cm^3`

We know, `V = 4/3pir^3`

`:. 4/3pir^3 = 6336/7`

`=>r^3 = 6336/7**3/4**7/22 = 216`

`=>r = 6cm`

So, radius of the sphere is `6` cm.

`:.` Diameter of the sphere ` = 2r = 12cm`

Now, surface area of the sphere, `(S) = 4pir^2 = 4**22/7**6**6 = 3168/7 cm^2 = 452.57cm^2`