Question 78

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

Solution

Let $$n$$ balls can be made

=> Volume of hemisphere = $$n \times $$ Volume of sphere

=> $$n\times\frac{4}{3}\pi (r)^3=\frac{2}{3}\pi(R)^3$$

=> $$2n \times (1)^3=(6)^3$$

=> $$n=\frac{216}{2}=108$$

=> Ans - (B)


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