Question

A cone of maximum volume is carved out of a block of wood of size 20cm×10cm×10cm.Find the volume of the remaining wood.

Answer 1

Volume of wood = volume of wooden block - volume of cone
= l×b×h -1/3πr2h
= 20×10×10-1/3×22/7×5×5×10
= 2000-5500/21
= 2000-261.9
= 1738.1 cm3 (approx).