Question

Find the volume of the largest right circular cone that can be cut out of cube whose edge is 7cm

Answer 1

volume of cone
$\frac{1}{3} \pi {(r)}^{2} h$
dimensions of cube= 7 cm
height will same as height of cube = 7 cm
diameter will be same as lenght of cube=7 cm
volume of cone will be
$\frac{1}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 7 \\ \frac{49 \times 11}{3 \times 2} \\ \frac{539}{6} {cm}^{3}$