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The volume of sphere is express as:


\text{ Volume of sphere = }(4)/(3)\Pi* radius^3

In the given figure its is given that volume V = 64 pie

Substitute the value of V and solve for radius r


\begin{gathered} \text{ Volume of sphere = }(4)/(3)\Pi* radius^3 \\ 64\Pi=\text{ }(4)/(3)\Pi* radius^3 \\ (64\Pi*3)/(4\Pi)=radius^3 \\ 48=radius^3 \\ \text{Radius = }\sqrt[3]{48} \\ \text{Radius }=3.6\operatorname{cm} \end{gathered}

Radius of the given sphere is 3.6cm

Answer : C) 3.6cm

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