Question

A surface area of a sphere is 1386 cm^2 . find its volume

Answer 1

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your answer....

Surface area of sphere = 4πr²

4 .πr² = 1386

4 × 22 / 7 × r² = 1386

88 / 7 × r² = 1386

r² = 1386 × 7 / 88

r² = 15.75 × 7

r² = 110.25

r = √110.25

r = 10.5

volume of sphere = 4 / 3 πr³

4 × 22 / 7 × ( 10.5)³

4 / 3 × 22 / 7 × 1157.625

4 / 3 × 22 × 165.375

4581cm³
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hope it helps....

Answer 2

Answer:

4581 cm³

Step-by-step explanation:

Given, Surface area of the sphere = 1386 cm².

⇒ 4πr² = 1386

⇒ 4 * (22/7) * r² = 1386

⇒ 88r² = 1386 * 7

⇒ 88r² = 9702

⇒ r² = 9702/88

⇒ r² = 110.25

⇒ r = 10.5 cm

We know that Volume of sphere = (4/3)πr³

⇒ (4/3) * (22/7) * (10.5)³

⇒ 101871/21

⇒ 4581 cm³

Therefore,Volume of sphere = 4581 cm³.

Hope it helps!