A solid rectangular block of metal of dimensions 88 cm × 21 cm × 21 cm, is melted to form a solid sphere. What is its radius (in cm)? Take π = 22/7.

Explanation

Given: Dimensions of the metallic rectangular block is 88 cm × 21 cm × 21 cm Concept used: Volume of a cuboid = l × b × h Volume of a sphere = 4/3πr3 Here, l = length b = breadth h = height r = radius Calculation: Let the radius of sphere be r. According to the question, 88 × 21 × 21 = 4/3 × (22/7) × r3 ⇒ (88 × 21 × 21 × 7 × 3)/(22 × 4) = r3 ⇒ r3 = 213 ⇒ r = 21 ∴ The answer is 21.