Question

A hemispherical bowl with an internal radius of 15 cm is full of liquid. This liquid will be filled in cylindrical bottles with a radius of 5 cm and a height of 7
cm. How many bottles are required to empty the bowl?

type-ssc
A 12 Correct Answer Incorrect Answer
B 15 Correct Answer Incorrect Answer
C 18 Correct Answer Incorrect Answer
D 21 Correct Answer Incorrect Answer

Solution

Given – the radius of the hemispherical bowl= 15cm The volume of the hemispherical bowl =2/3 πr3 =2/3×22/7×15×15×15 = (44×225×5)/7   Volume of hemispherical bowl= (44×225×5)/7 Now radius of cylindrical bottles = 5cm. and height =6cm So, the volume of cylindrical bottles = πr²h =22/7 ×25×6 Number of the bottles = (44×225×5)/7)/ (22/7 ×25×6)   =15 Number of the bottles = 15

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