find the number of coins 1.5 cm in diameter and 2 mm thick to be melted to form a right circular cylinder of radius 2.25 cm and height 10 cm
Answers
it is given that diameter of coin, d = 1.5 cm
thickness of coin, l = 2mm = 0.2 cm
radius of right circular cylinder, R = 2.25 cm
height of right circular cylinder, H = 10 cm
let the number of coins is n
here n coins are melted to form a right circular cylinder.
volume of n coins = volume of the cylinder
⇒n × π(d/2)²l = πR²H
⇒n × d²l/4 = R²H
⇒n × (1.5)² × 0.2/4 = (2.25)² × 10
⇒n = (2.25)² × 10 × 4/{(2.25) × 0.2}
= 2.25 × 10 × 20
= 450
therefore, the number of coins is 450
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