Question 129
The volume of the largest right circular cone that can be cut out of a cube of edge 7cm ? $$(Use \pi = \frac{22}{7})$$.
Solution
Height of largest circular cone = $$7$$ cm and radius = $$\frac{7}{2}=3.5$$ cm
Volume of cone = $$\frac{1}{3}\pi r^2h$$
= $$\frac{1}{3}\times\frac{22}{7}\times(3.5)^2\times7$$
=Â $$\frac{1}{3}\times22\times12.25$$
= $$\frac{269.5}{3}=89.8$$ $$cm^3$$
=> Ans - (D)
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