How many hemispheres with a radius of 3 cm can be produced by melting down a hemisphere with a radius of 12cm?
How many hemispheres with a radius of 3 cm can be produced by melting down a hemisphere with a radius of 12cm?
12 सेमी त्रिज्या वाले एक अर्धगोले को पिघलाकर 3 सेमी त्रिज्या वाले कितने अर्धगोले बनाए जा सकते हैं?
Detailed Solution & Logic
Correct Answer:
64
The number of hemispheres formed is equal to the ratio of their volumes.
Volume of a hemisphere $\propto r^3$
$\therefore\ \text{Number of hemispheres}=\left(\dfrac{12}{3}\right)^3$
$=4^3$
$=64$
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