1.

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

Answer» 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`


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