Question

From a cube of edge 14 cm, a cone is carved out of a block of wood of size 20 cm × 10 cm × 10 cm. Find the volume of the remaining material.​

Answer 1

Step-by-step explanation:

Solution

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Given: Side of the cube =14 cm

Volume of the cube =(14)

3

=2744 cm

3

The biggest cone that can be carved out will be having the height of 14 cm and diameter will be 14 cm

Hence the radius =7 cm

Volume of biggest cone that can be carved =

3

1

πr

2

h

=

3

1

×

7

22

×7×7×14

=

3

1

×22×7×14

=

3

2156

=718.66 cm

3

The volume of remaining solid =2744−718.66

=2025.34 cm

3

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