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

  1. Chapter 13 Class 9 Surface Areas and Volumes
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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 = (๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐‘—๐‘ข๐‘–๐‘๐‘’ ๐‘–๐‘› ๐‘ฃ๐‘’๐‘ ๐‘ ๐‘’๐‘™)/(๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐‘—๐‘ข๐‘–๐‘๐‘’ ๐‘–๐‘› 1 ๐‘”๐‘™๐‘Ž๐‘ ๐‘ ) 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 = ฯ€r2h = ฯ€ ร— 15 ร— 15 ร— 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 = ฯ€r2h = ฯ€ ร— 3 ร— 3 ร— 8 cm3 Number of glasses sold = (๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐‘—๐‘ข๐‘–๐‘๐‘’ ๐‘–๐‘› ๐‘ฃ๐‘’๐‘ ๐‘ ๐‘’๐‘™)/(๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐‘—๐‘ข๐‘–๐‘๐‘’ ๐‘–๐‘› 1 ๐‘”๐‘™๐‘Ž๐‘ ๐‘ ) = "ฯ€ ร— 15 ร— 15 ร— 32" /"ฯ€ ร— 3 ร— 3 ร— 8" = 5 ร— 5 ร— 4 = 100 Money received by selling 1 glass = Rs 3 Money received by selling 100 glass = Rs 3 ร— 100 = Rs 300 Therefore, stall keeper receives Rs 300 by selling the juice completely

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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