A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is

a

1cm

b

\(\sqrt{\frac{3\pi}{24}}\)

c

\(\frac{\pi}{24\sqrt{3}}\)

d

24\(\sqrt{3}\)

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c

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