Question

About how much air would fill a ball with a radius of 16cm

Answer 1

The volume of a sphere is given by
`V=( (4)/(3) ) \pi r^(3)`. Since the radius is 16cm we replace r with 16 to obtain:
`V=( (4)/(3) ) \pi (16)^(3)=( (4)/(3) )(4096) \pi = (16384)/(3) \pi` centimeters cubed.

That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)