Question

Find the volume of the largest right circular cone that can be cut out of a cube whose edges is 9cm

Answer 1

length of cube is 7 cm
volume of cone
$\frac{1}{3} \pi( {r}^{2} )(h)$
height of cone will same as height of cube
=9 cm
diameter of cone will same as length of cube
=9 cm
volume of cone
$\frac{1}{3} \times \frac{22}{7} \times \frac{9}{2} \times \frac{9}{2} \times 9 \\ \frac{11 \times 3 \times 9 \times 9}{7} \\ \frac{2673}{7} {cm}^{3}$

Answer 2

Answer:

diameter of cone = height of the cone = side of cube = 9cm

volume of cone = 1/3 × 22/7 × r × r × h

radius of cone = 9 / 2 cm

= 1/3 × 22/7 × 9/2 × 9/2 × 9

= 2673/14

=190. 9 cm cube