Question

The volume of largest cone which can be carved out from a cube of edge a cm is

Answer 1

the largest cone that be carved out is the one with base a and height a so πa^r/3

Answer 2

Answer:

$\frac{a^3}{12} \pi$

Step-by-step explanation:

A cone is  carved out from a cube of edge a cm

So, height of cone = a

Radius of cone = $\frac{a}{2}$

Volume of cone = $\frac{1}{3} \pi r^2 h$

Volume of cone = $\frac{1}{3} \pi (\frac{a}{2})^2 (a)$

Volume of cone = $\frac{a^3}{12} \pi$

Hence The volume of cone is  $\frac{a^3}{12} \pi$