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A sphere and a hemisphere have the same surface area. The ratio of their volumes is?

Correct Answer: 3√3/8 : 1

Explanation:

According to the question,
Surface area of sphere = Surface area of hemisphere
4πr12 =3πr22
⇒ r1/r2 = √3/2
∴ Ratio in volume = [(4/3)πr13] / [(4/3)πr23]
= 3√3/8 : 1


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