Correct Answer - Option 3 : 48
Given:
Diameter of coin = 4 cm
Height of coin = 3 cm
Height of cylinder = 16 cm
Radius of cylinder = 6 cm
Formula Used:
Volume of cylinder = πr2h
Radius = Diameter/2
Calculation:
Diameter of coin = 4cm
Radius = Diameter/2
⇒ Radius = 4 cm/2
⇒ Radius = 2 cm
⇒ Volume of coin = π(2 cm)2 × (3 cm)
⇒ Volume of coin = 12π cm3
Volume of cylinder = π(6 cm)2 × (16 cm)
⇒ Volume of cylinder = 576π cm3
Number of coins = Volume of cylinder/Volume of 1 coin
⇒ Number of coins = 576 cm3/12π cm3
⇒ Number of coins = 48
48 coins can be formed.
∴ The correct option is 3 i.e. 48