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What is the volume of an article which is made by digging out a hemisphere from each end of a solid cylinder where the radius, height of the cylinder is 5 cm, 8 cm respectively and the radius of the hemisphere is 5 cm?(a) 104.40 cm^3(b) 205.6 cm^3(c) 168.23 cm^3(d) 604 cm^3I got this question in a national level competition.This intriguing question comes from Surface Area and Volume of Combination of Solids topic in section Surface Area and Volumes of Mathematics – Class 10

Answer» RIGHT ANSWER is (a) 104.40 cm^3

To elaborate: Volume of the ARTICLE = volume of the CYLINDER – 2(volume of the hemisphere)

= πr^2h – 2(\(\frac {2}{3}\)πr^3)

= (3.14 × 5^2 × 8) – 2(\(\frac {2}{3}\) × 3.14 × 5^3)

= 104.40 cm^3


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