Question 107

The total surface area of a sphere is $$8\pi$$ square unit. The volume of the sphere is

Solution

Let the radius of the sphere be 'r'
Hence $$4\pi r^2$$ = $$8\pi$$
=> r = $$\sqrt{2}$$
Volume of the cube = $$\frac{4}{3}\pi r^3$$ = $$\frac{4}{3}\pi \sqrt{2}^3$$ = $$\frac{8\sqrt{2}}{3}\pi$$


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