If the surface are of sphere is 6.16 find its volume
Answers
Answer:
Volume of the Sphere = 8.624 unit³
Step-by-step explanation:
Surface area of the sphere = 6.16 unit²
Let, the radius of the sphere be r unit.
∵Surface area of the sphere = π × r²
⇒ 6.16 = πr²
⇒ r² = (6.16 × 7)/22 [∵ π = 22/7]
⇒ r² = 1.96
⇒ r = √1.96
⇒ r = 1.4
∴ Radius of the sphere = 1.4 unit.
∵ Volume of the Sphere = πr³
= πr² x r
= 6.16 x 1.4 [∵ πr² = 6.16]
= 8.624 unit³
∴ Volume of the Sphere = 8.624 unit³
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