A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.
√32
Total surface area of a sphere is
=4πr12
Total surface area of a hemisphere
=3πr22
Since both are equal,
4πr12 = 3πr22
⇒ r12r22 = 34
⇒ r1r2 = √32