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Deepak Bora
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Asked: 2020-09-26T08:01:13+05:30 In:

The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.

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The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.

ICSE Board Question Based on Mensuration Chapter of M.L Aggarwal for class10
The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.
This is the Question Number 01, Exercise 17.4 of M.L Aggarwal.

chapter 17 mensurationicseml aggarwal class 10
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    1. Best Answer
      The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.

      This question is from ml aggarwal class 10 ch 17 excercise 17.4 question 1

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    2. This answer was edited.

      Given diameter of the hole, d = 30 cm

      radius of the hole, r = d/2 = 30/2 = 15 cm

      Height of the cylindrical hole, h = 70 cm

      Volume of the cuboidal block = lbh

      = 70×30×30

      = 63000 cm3

      Volume of cylindrical hole =π r2h

      = (22/7)×152×70

      = 22×225×10

      = 49500 cm3

      Volume of the wood left in the block = 63000-49500 = 13500 cm3

      Hence the volume of the wood left in the block is 13500 cm3.

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