Question

The volume of the largest right circular cone that can be cut out from a cube of edge 7 cm is:

• A. $79.8c{m}^3$
• B. $79.4c{m}^3$
• C. $89.8c{m}^3$
• D. $89.4c{m}^3$

Answer 1

The correct option is C $89.8c{m}^3$

Diameter of the largest cone that can be cut out from a cube of side 7 is 7 cm
Therefore radius = 3.5 cm
Height = 7 cm
Volume of cone$=\frac{1}{3}\pi r^{2}h$
$=\frac{1}{3}\times \frac{22}{7}\times 3.5\times 3.5\times 7$
$=\frac{269.5}{3}c{m}^3$
$=89.8c{m}^3$