Apply the formula of volume of cone which is:
where r is radius of the base and h is height of the cone.
Since r is not given, use the Pythagorean formula to determine r. Note that the height (h), slant height (s) and the radius (r) forms a right triangle, wherein the s is the hypotenuse.
Since r represents the radius of the base of the cone, take only the positive value. Hence, r=12 cm.
Now that the value of r is known, plug-in h=16 and r=12 to the formula of volume of cone.
Hence, the volume of the given cone is `768pi` `cm^3` .