Question : How many solid spherical balls of radius 6 cm can be made by melting a solid hemisphere of radius 12 cm?
Option 1: 4
Option 2: 2
Option 3: 10
Option 4: 8
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Correct Answer: 4
Solution :
The radius of a spherical ball, $r_1$ = 6 cm
The radius of the solid hemisphere, $r_2$ = 12 cm
Volume of a sphere = $\frac{4}{3}\pi{r_1^3}$
Volume of a hemisphere = $\frac{2}{3}\pi{r_2^3}$
Let n numbers of spherical balls be made.
So, $\text{n} \times\frac{4}{3}\pi\times6^3 = \frac{2}{3}\pi\times12^3$
$\therefore$ n = 4
Hence, the correct answer is 4.
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