How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?
Let number of silver coins be n
Volume of cuboid = length x breadth x height
Silver coin is a cylinder. Thickness of silver coin is height of cylinder.
Height of coin (cylinder) = h =2 mm=0.2 cm
Diameter of coin (cylinder) cm
Radius of silver coin (cylinder) cm
Volume of silver coin (cylinder)
According to given condition we have
Volume of coin = Volume of cuboid