Verified by Ajay Kumar
A solid metal sphere with a radius of 12 cm is melted and transformed into multiple smaller spheres, each with a radius of 2 cm. How many smaller spheres can be created from the original sphere?
282
256
216
214
Answer: C
The total volume remains unchanged. Number of smaller spheres = \(\frac{R^3}{r^3}=\left(\frac{12}{2}\right)^3=6^3=216\). Trick: Number of smaller spheres = \((R/r)^3\).
12 सेमी त्रिज्या वाले एक ठोस धातु के गोले को पिघलाकर 2 सेमी त्रिज्या वाले कई छोटे गोलों में बदल दिया जाता है। मूल गोले से कितने छोटे गोले बनाए जा सकते हैं?
282
256
216
214
उत्तर: C
कुल आयतन समान रहता है। छोटे गोलों की संख्या = \(\frac{R^3}{r^3}=\left(\frac{12}{2}\right)^3=6^3=216\)। ट्रिक: छोटे गोलों की संख्या = \((R/r)^3\)।
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