Question 164

If the volume of a sphere is numerically equal to its surface area then its diameter is

Solution

Let the radius of sphere = $$r$$

Since, volume of sphere = surface area

=> $$\frac{4}{3} \pi r^3 = 4 \pi r^2$$

=> $$r = 3$$

=> Diameter = 2 * $$r$$ = 2*3 = 6 cm

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