A hemisperical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl?
Explanation:
Total volume of the hemisperical bowl = 1/2 × 4/3 × π × r3 = 1/2 × 4/3 × π × 93 = 486π
Volume of one cylindrical bottle = π × r2 × h = π × 1.52 × 4 = 9π
Let total number of such bottles required is n
∴Volume of hemisperical bowl = total volume of these n cylindrical bottles ⇒ 486π = n × 9π ⇒ n = 486/9 = 54
Hence, option (c).
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