Question

Find the volume of a sphere whose surface area is 154 cm².​

Answer 1

Answer:

• Surface Area of Sphere :

⇒ Surface Area = 154 cm²

⇒ 4πr² = 154

⇒ 4 × 22/7 × r² = 154

⇒ r² = 154 × 1/4 × 7/22

⇒ r² = 7 × 1/4 × 7

⇒ r = √{(7 × 7)/4}

⇒ r = 7/2

• Volume of Sphere :

⇢ Volume = 4/3πr³

⇢ Volume = 4/3 × 22/7 × (7/2)³

⇢ Volume = 4/3 × 22/7 × 7/2 × 7/2 × 7/2

⇢ Volume = 1/3 × 11 × 7 × 7

⇢ Volume = 539/3

⇢ Volume = 179.67 cm³