Question

A sphere and a hemisphere have the same volume.The ratio of their curved surface area is:​

Answer 1

Answer:

Volume of sphere : Volume of hemisphere

4/3 × 22/7 ×r2 : 2/3 × 22/7 × r2

2 : 1

CSA of sphere : CSA of hemisphere

4 × 22/7 × r2 : 2 × 22/7 × r2

2: 1

Answer 2

let radius of sphere be r

let radius of hemisphere be R

vol of sphere = vol of h.sphere

4/3 π r³ = 2/3 π R³

2r³= R³

2r = R

tsa of sphere : tsa of h sphere

4πr² : 3πR²

4r² : 3R²

4r : 3R

therefore ratio is 4:3

cheers!