Mathematics
A cone of maximum volume is carved out of a block of wood of size 20 cm × 10 cm × 10 cm. Find the volume of the remaining wood.
Mensuration
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Answer
Volume of block of wood = 20 cm × 10 cm × 10 cm = 2000 cm3.
Diameter of the cone for maximum volume = 10 cm.
Cone of maximum volume is carved out as shown in figure,
![A cone of maximum volume is carved out of a block of wood of size 20 cm × 10 cm × 10 cm. Find the volume of the remaining wood. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/mla10/q4-c17-4-mensuration-ml-aggarwal-solutions-icse-class-10-667x640.png)
Radius =
= = 5 cm.
Height of the cone for maximum volume = 20 cm.
Volume of the cone =
Putting values we get,
Volume of cone =
Volume of the remaining wood = Volume of block of wood - Volume of the cone.
Volume of remaining wood =
Hence, the volume of the remaining wood is cm3.
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