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» Surface area of a sphere = 154 cm² We know, Surface area of a sphere = 4πr² So, 4πr² = 154 4 x \(\frac{22}{7}\) x r² = 154 or r² = \(\frac{49}{4}\) or r = \(\frac{7}{2}\) = 3.5 Radius (r) = 3.5 cm Now, Volume of sphere = \(\frac{4}{3}\) π r³ = (\(\frac{4}{3}\)) π × 3.5³ = 179.66 Therefore, Volume of sphere is 179.66 cm³.

Answer»

Surface area of a sphere = 154 cm²

We know, Surface area of a sphere = 4πr²

So, 4πr² = 154

4 x \(\frac{22}{7}\) x r² = 154

or r² = \(\frac{49}{4}\)

or r = \(\frac{7}{2}\)

= 3.5

Radius (r) = 3.5 cm

Now, Volume of sphere = \(\frac{4}{3}\) π r³

= (\(\frac{4}{3}\)) π × 3.5³

= 179.66

Therefore, Volume of sphere is 179.66 cm³.

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