What is the number of gold coins
What is the number of gold coins, each having a radius of 0.875 cm and a thickness of 2 mm, that need to be melted to create a cuboid with dimensions 5.5cm\(\times\) 5 cm \(\times\) 3.5 cm? ( User \(\pi = \frac{22}{7}\))
प्रत्येक 0.875 cm त्रिज्या और 2 mm मोटाई वाले सोने के सिक्को की संख्या ज्ञात कीजिए, जिन्हें 5.5cm\(\times\) 5 cm \(\times\) 3.5 cm?आयामों वाला एक घनाभ बनाने के लिए पिघलाने की आवशयकता है ( \(\pi = \frac{22}{7}\)) उपयोग कीजिए
Detailed Solution & Logic
200
Volume of one coin = $ \pi r^2 h $
$ = \frac{22}{7} \times (0.875)^2 \times 0.2 = \frac{77}{160} \text{ cm}^3 $
$ \text{Volume of cuboid} = 5.5 \times 5 \times 3.5 = 96.25 \text{ cm}^3 $
$ \text{Number of coins} = \dfrac{96.25}{\frac{77}{160}} = 200 $
Answer = 200
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