Question 194

Volume of a sphere is equal to the volume of a hemisphere. If the radius of the hemisphere is 3$$\sqrt[3]{2}$$ cm, then the radius of the sphere is equal to

Solution

Let the radius of sphere be $$r$$

Volume of sphere = Volume of hemisphere

=> $$\frac{4}{3} \pi r^3 = \frac{2}{3} \pi (3\sqrt[3]{2})^3$$

=> $$2r^3 = 54$$

=> $$r = \sqrt[3]{27} = 3$$ cm


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