Find the surface area ( in terms of pi) of a sphere if it's volume is 36pi ft^3.

Some explanation would be greatly appreciated along with the answer!

Find the surface area in terms of pi of a sphere if its volume is 36pi ft3Some explanation would be greatly appreciated along with the answer class=

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Answer with Step-by-step explanation:

Volume of sphere= [tex]\dfrac{4}{3}\pi\ r^3[/tex]

[tex]\dfrac{4}{3}\pi\ r^3= 36\pi[/tex]

Dividing by 4π on both sides, we get

[tex]\dfrac{1}{3}r^3= 9[/tex]

Multiplying by 3 on both sides, we get

[tex]r^3=27\\\\r^3=3^3\\\\r=3[/tex]

Hence, radius of sphere is 3 ft

Surface Area of sphere= 4πr²

                     =4×π×3²

                     = 36π ft²

Hence, surface Area of sphere is:

36π ft²