If the volume of sphere is 36π[tex]m^{3}[/tex],then the surface area of sphere is 36π[tex]m^{2}[/tex].
A sphere is the set of points that are all the same distance r from a given point in three dimensional space. r is the radius of the sphere.
We have been given volume of 36π[tex]m^{3}[/tex] and we have to find the surface area of sphere.
We know that volume of sphere is 4/3 π[tex]r^{3}[/tex].
Put the value of volume in formula:
36π=4/3π[tex]r^{3}[/tex]
[tex]r^{3}[/tex]=36π*3/4π
Now cancel π from numerator and denominator.
[tex]r^{3}[/tex]=27
r=[tex]27^{1/3}[/tex]
r=3m
Put the value of r in the formula of surface area of sphere.
Surface area=4π[tex]3^{2}[/tex]
=4π*9
=36π[tex]m^{2}[/tex]
Hence the surface area of sphere is 36π[tex]m^{2}[/tex].
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