Question
A cone has a base radius of 6 cm and a height of 8 cm.
If it is melted and recast into spheres of radius 2 cm, how many such spheres can be made?Solution
Volume of cone = 1/3 × π × r² × h = 1/3 × π × (6)² × 8 = 96π Volume of one sphere = 4/3 × π × r³ = 4/3 × π × (2)³ = 32/3 π Number of spheres = Volume of cone / Volume of sphere = 96π / (32/3 π) = 9 Correct answer: b. 9
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