Question

find the volume of a sphere whose surface area is 154 cm square units.

Answer 1

surface area of sphere =4πr^2
154 =4πr×r
r×r=12.2
r=3.5
volume=( 4πr×r×r)/3=154×3.5/3=179.67

Answer 2

$\huge{\mathcal{Hi\: there!}}$

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Let $r$ cm be the radius of the sphere.

Now, we know that;

Surface area of sphere = 4 π r²

⇒ 4 × $\frac{22}{7}$ × r² = 154

⇒ r² = $\frac{154 \times 7}{4 \times 22}$

⇒ r² = 12. 25

⇒ r = √12.25

⇒ r = 3.5 cm.

Now,

Volume of sphere = $\frac{4}{3}$ π r³

⇒ $\frac{4}{3} \times \frac{22}{7} \times \frac{35}{10} \times \frac{35}{10}$

⇒ $\frac{539}{3}$

≈ 179 . 67 cm³

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Thanks for the question!

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