Question

a largest possible sphere had been carved from a cubical wooden block of edge 42 cm. find the volume of the carved out wood ​

Answer 1

Answer:

$35280$ $cm^{3}$

Step-by-step explanation:

Volume of cube = $a^{3}$ = $42^{3}$ = $74088$ $cm^{3}$

Volume of sphere = $\frac{4}{3}\pi r^{3}$ = $\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)\left(21^{3}\right)$ = $38808$ $cm^{3}$

=> Remaining volume of the carved out wood = $74088 - 38808 = 35280$ $cm^{3}$