The base of a hemisphere is inscribed in one face of a cube and the entire hemisphere in contained within the volume of the cube. What is the ratio of the radius of the hemisphere to the length of a side of the cube?

A. \(\sqrt{2}:P\)

B. \(1:2\)

C. \(2:P\)

D. \(1:\sqrt{2}\)

E. \(2:1\)

here i found that logically D=S or 2r=S SO r/s= 1/2 ....is my reason correct?

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