Find the number of coins, 5 cm in diameter and 0.14 cm in thickness, that are needed to be melted to form a solid cylinder of height 315 cm and radius 5 cm
Answers
Given :-
- Diameter of coins = 5 cm
- Thickness of coins = 0.14 cm
- Height of cylinder formed = 315 cm
- Radius of cylinder formed = 5 cm
To find :-
- Number of coins required
Solution :-
As the coins will be melted to form cylinder, so they will shape as cylinder.
Now we know,
→ Volume of cylinder = πr²h
Now, we will find volume of one coin.
→ Volume of 1 coin = 22/7 × (5/2)² × 0.14
→ Volume of 1 coin = 22/7 × (2.5)² × 0.14
→ Volume of 1 coin = 22/7 × 6.25 × 0.14
→ Volume of 1 coin = 2.75 cm³
Now we will find volume of cylinder formed:-
→ Volume of cylinder = πr²h
→ Volume of cylinder = 22/7 × (5)² × 315
→ Volume of cylinder = 22/7 × 25 × 315
→ Volume of cylinder formed = 24750 cm³
Now here,
→ Number of coins = (Volume of cylinder)/(Volume of 1 coin)
→ Number of coins = 24,750/2.75
→ Number of coins = 9000
Therefore,
Number of coins required = 9000 .
Answer:
Number of coins required = 9000
Step-by-step explanation:
As the coins will be melted to form cylinder, so they will also shape as cylinder.
Now we know,
→ Volume of cylinder = πr²h
Now, we will find volume of one coin.
→ Volume of 1 coin = 22/7 × (5/2)² × 0.14
→ Volume of 1 coin = 22/7 × (2.5)² × 0.14
→ Volume of 1 coin = 22/7 × 6.25 × 0.14
→ Volume of 1 coin = 2.75 cm³
Now we will find volume of cylinder formed:-
→ Volume of cylinder = πr²h
→ Volume of cylinder = 22/7 × (5)² × 315
→ Volume of cylinder = 22/7 × 25 × 315
→ Volume of cylinder formed = 24750 cm³
Now here,
→ Number of coins = (Volume of cylinder)/(Volume of 1 coin)
→ Number of coins = 24,750/2.75
→ Number of coins = 9,000
Therefore,
Number of coins required = 9000.