Question

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

Answer 1

Radius of the cone with the largest volume that can be cut out from a cube of edge 7 cm = 7/2 cm

Height of the cone = edge of the cube = 7 cm 

∴ Volume of the cone V = \(\frac{1}{3}\)πr²h 

= \(\frac{1}{3}\) × \(\frac{22}{7}\) × \(\frac{7}{2}\) × \(\frac{7}{2}\) × 7 

= 89.83 cm³.