How many smaller hemispheres with radius 4 cm can be formed by melting a hemisphere with radius 16 cm?

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Accepted Answer

1. The volume of a hemisphere is $V=\frac{2}{3}\pi r^3$.  
2. Number of small hemispheres = $\dfrac{\frac{2}{3}\pi 16^3}{\frac{2}{3}\pi 4^3}=\dfrac{16^3}{4^3}$.  
3. Simplify: $\left(\dfrac{16}{4}\right)^3=4^3=64$.  
4. So, 64 smaller hemispheres can be formed.

FINAL_ANSWER: d

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