Question

What radius would produce a container with a volume of pi times the radius?

Answer 1

'container'
assuming you mean a sphere (because cone and cylinder requires height)

V=(4/3)pir^3

when V=pir, find r

pir=(4/3)pir^3
divide both sides by pir
1=(4/3)r^2
times both sides by 3/4
3/4=r^2
sqrt both sides

`( √(3) )/(2)`=r

the radius would have to be
`( √(3) )/(2)` units