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
Similar Practice Questions
The volume of a prism in 960 \(\text {cm}^3\).
The volume of a prism in 960 \(\text{cm}^3\). If its base area is 80 \(\text{cm}^2\)...
The sides of a triangle ABC are AB = 5 cm, BC = 6 cm and CA = 7 cm, respectively
The sides of a triangle ABC are AB = 5 cm, BC = 6 cm...
A right circular cone is cut into two parts of equal height by a horizontal plane.
A right circular cone is cut into two parts of equal height by a horizontal...
A perfect cube with a side length of 8cm has the largest possible sphere fitted inside it.
A perfect cube with a side length of 8cm has the largest possible sphere fitted...
A triangle ABC has a circle inscribed within it with sides a, b, c. The area of the triangle is A. What is the radius of the inscribed circle?
A triangle ABC has a circle inscribed within it with sides a, b, c. The...
A cylindrical disc of thickness 1 cm
A cylindrical disc of thickness 1 cm is made by melting two solid cylinders of...
If the surface area of a sphere
If the surface area of a sphere is 5544 $ \text cm^2$ , then find...