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Ex 13.3, 3 - A 20 m deep well with diameter 7 m is dug - Conversion of one shape to another

  1. Chapter 13 Class 10 Surface Areas and Volumes
  2. Serial order wise
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Ex 13.3, 3 A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform. Here, shape of well is in form of cylinder & shape of platform will be in shape of cuboid. Hence, Volume of well = Volume of platform So , Volume of cylinder = Volume of cuboid Volume of cylinder Diameter = 7 m radius = r = ๐ท๐‘–๐‘Ž๐‘š๐‘’๐‘ก๐‘’๐‘Ÿ/2 = 7/2 m & Height = h = 20 m Volume of cylinder = ๐œ‹๐‘Ÿ2โ„Ž = 22/7ร—(7/2)^2 ร—20 = 22/7ร—7/2ร—7/2ร—20 = 770 m3 Volume of cuboid Length = l = 22 m Breadth = b = 14 m Let Height = h m Volume of cuboid = lbh = 22 ร— 14 ร— h Now, Volume of cylinder = Volume of cuboid 770 = 22 ร— 14 ร— h 770/(22 ร— 14) = h h = 770/(22 ร— 14) h = 770/(22 ร— 14) h = 2.5 m Hence, height of platform = 2.5 m

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