Given: A cylinder of radius 14 cm and height 5 cm is melted and recast into cubes of edge length 2 cm. Concept Used: in this type of question, volume remains same after melting Formula Used: volume of cylinder =
22
7
× r2 × h; r = radius of cylinder, h = height of cylinder volume of cube = a3; a = edge of cube Calculation: Let the number of identical cubes be 'n'. ⇒
22
7
× 142 × 5 = n × 23 ⇒ 22 × 14 × 2 ×
5
8
= n ⇒ n = 385 ∴ 385 identical cubes will be obtained.