Question

The volume of the sphere is 38808, find the curved surface area of the sphere

Answer 1

given :-

volume of the sphere = 38808cm³

formula to find the volume of a sphere is 4/3πr³

therefore 4/3πr³ = 38808cm³

➡ 4/3 × 22/7 × r³ = 38808cm³

➡ 88/21 × r³ = 38808cm³

➡ r³ = 38808/1 × 21/88

➡ r³ = 441 × 21

➡ r³ = 9261

➡ r = ³√(21 × 21 × 21)

➡ r = 21cm

the radius of the sphere is 21cm.

now, it's curved surface area = 4πr²

= 4 × 22/7 × 21 × 21

= 88/7 × 441

= 88 × 63

= 5544cm²

hence, the curved surface area of the sphere is 5544cm²

Answer 2

Volume of the sphere = 38808cm³

• Volume of a sphere is 4/3πr³

Therefore 4/3πr³ = 38808cm³

➡ 4/3 × 22/7 × r³ = 38808cm³

➡ 88/21 × r³ = 38808cm³

➡ r³ = 38808/1 × 21/88

➡ r³ = 441 × 21

➡ r³ = 9261

➡ r = ³√(21 × 21 × 21)

➡ r = 21cm

The radius of the sphere is 21cm.