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

1.	Find the volume of a sphere whose surface area is 154 cm2.
Answer» We know that Surface area of the sphere = 4 πr² By substituting the values 4 πr² = 154 On further calculation 4 × (22/7) × r² = 154 So we get r² = (154 × 7)/ (4 × 22) = 49/4 By taking the square root r = 7/2 cm We know that Volume of the sphere = 4/3 πr³ By substituting the values Volume of the sphere = 4/3 × (22/7) × (7/2)³ So we get Volume of the sphere = 179.67 cm³ Therefore, the volume of the sphere is 179.67 cm³

Answer»

We know that

Surface area of the sphere = 4 πr²

By substituting the values

4 πr² = 154

On further calculation

4 × (22/7) × r² = 154

So we get

r² = (154 × 7)/ (4 × 22) = 49/4

By taking the square root

r = 7/2 cm

We know that

Volume of the sphere = 4/3 πr³

By substituting the values

Volume of the sphere = 4/3 × (22/7) × (7/2)³

So we get

Volume of the sphere = 179.67 cm³

Therefore, the volume of the sphere is 179.67 cm³

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