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Example 14 - At a Ramzan Mela, a stall keeper in one of - Examples

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Example 14 : At a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses (see Fig. ) of radius 3 cm up to a height of 8 cm, and sold for Rs 3 each. How much money does the stall keeper receive by selling the juice completely? Number of glasses sold = ( )/( 1 ) Volume of juice in vessel Juice in vessel is in form of cylinder with Radius = 15 cm Height = 32 cm Volume of juice in the vessel = r2h = 15 15 32 cm3 Volume of juice in 1 glass Juice in glass is in form of cylinder with Radius = 3 cm Height = 8 cm Volume of juice in the vessel = r2h = 3 3 8 cm3 Number of glasses sold = ( )/( 1 ) = " 15 15 32" /" 3 3 8" = 5 5 4 = 100 Money received by selling 1 glass = Rs 3 Money received by selling 100 glass = Rs 3 100 = Rs 300 Therefore, stall keeper receives Rs 300 by selling the juice completely

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.