The largest Cone is curved out from one face of
solid cube of side 21cm. Find the volume of the
remaining solid.
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Answer:
6836.5cm^3
Step-by-step explanation:
As seen in the figure the maximum volume of cone that can be carved will be of radius = 0.5side length of cube
R=0.5L=0.5×21=10.5cm
h=21cm
V= 1/3πR^2h
= 1/3×π×10.5^2×21
=2424.52cm^3
Volume of wood left= Volume of cube-V
V1 = 1^3 - V =21^3 −2424.52=21^3
−2424.52=6836.5cm^3
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