The base-radius of a cylindrical block of wood is 15 centimetres and its height 40 centimetres. What is the volume of the largest cone that can be carved out from this?

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Solution

Volume of the largest cone that can be carved out from the cylindrical block

= of the volume of the cylindrical block

Base-radius of the cylindrical block = 15 cm

Height of the cylindrical block = 40 cm

Volume of the cylindrical block = Base area × Height

∴ Volume of the largest cone =

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The base-radius of a cylindrical block of wood is 15 centimetres and its height 40 centimetres. What is the volume of the largest cone that can be carved out from this?

Volume of the largest cone that can be carved out from the cylindrical block = of the volume of the cylindrical block Base-radius of the cylindrical block = 15 cm Height of the cylindrical block = 40 cm Volume of the cylindrical block = Base area × Height ∴ Volume of the largest cone =

Volume of the largest cone that can be carved out from the cylindrical block

= of the volume of the cylindrical block

Base-radius of the cylindrical block = 15 cm

Height of the cylindrical block = 40 cm

Volume of the cylindrical block = Base area × Height

∴ Volume of the largest cone =