Question

a piece of metal from of a cone of radius 3cm and height 7cm is melted and cast in to the cube find the side of the cube

Answer 1

Dimensions of the Cone:

r=3cm

h=7cm

Vol of cone = Vol of cube

∴ Vol of cube= a^3

Vol of cone = 1\3πr²h

=1\3*22\7*3*3*7

=66cm^3

Vol of cube = a^3 = Vol of cone

a = ∛66

a = 4.03cm

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