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Q. 30. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig.8. If the height of the cylinder is 12 cm and its base is of radius 4.2 cm, find the total surface area of the article. Also find the volume of wood left in the article.

Sol. (i) Total surface area of the wooden article
= C.S. ar of cylinder + 2 (C.S. ar of hemisphere)

(ii) Volume of wood left in the article
= Vol. of cyl. – 2(Vol. of hemisphere)

Mathematics 2009 Question Papers Class X
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