28 cm
3. From a cube of edge 14 cm, a cone of maximum size is carved out. Find the volume
of the remaining material.
4. A cone of maximum volume is carved out of a block of wood of size 20 cm x 10 cm x
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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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