from a wooden cube of side 42 cm,a right circular triangle cone of largest possible size has been cut out.find the volume of the wood left

Asked by science field | 23rd Jan, 2014, 07:27: PM

Expert Answer:

The diameter and the height of the largest cone inscribed in a cube are 42 cm and 42 cm respectively.
 
Thus, the radius of the cone is 21 cm.
 
Volume of the largest cone
 
 
Therefore, Volume of the cone= 19404 cubic centimeter
 
Volume of the cube of side 42 cm =   
Thus the remaining volume of the wood left = 74088 - 19404 = 54684 cubic centimeter.

Answered by Vimala Ramamurthy | 27th Jan, 2014, 10:25: AM

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