Question

The largest Cone is curved out from one face of
solid cube of side 21cm. Find the volume of the
remaining solid.​

Answer 1

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