Granda's soup company packages soup that serves 4 in cylindrical cans having a base diameter of 8cm and a height of 10cm. It wants to introduce the soup in single serving cans. If the company keeps the height of the new can at 10cm, what should its new base diameter equal?

Answer 1

the new volume should be 1/4 the old volume
Since the height is the same, the radius should be 1/2 the old radius
You can see this, since

πhr^2/4 = πh(r/2)^2

so, the new diameter is 1/2 the old diameter, or 4 cm