Side of cube = 7 cm Height of cone = 7 cm and radius of cone = $$frac{7}{2}$$ cm Volume of remaining cube = Volume of cube - Volume of cone = $$(a)^3 - frac{1}{3} pi r^2 h$$
= $$(7)^3 - frac{1}{3} imes frac{22}{7} imes (frac{7}{2})^2 imes 7$$ = $$(7)^3 imes [1 - (frac{1}{3} imes frac{11}{7 imes 2})]$$ = $$(7)^3 imes [1 - frac{11}{42}]$$ = $$343 imes (frac{42 - 11}{42})$$ = $$frac{49 imes 31}{6} = 253.17 cm^3$$