Question

find the volume of a sphere whose surface area is 154cm2

Answer 1

Surface area = 154 cm²

S = 4 π r²

154 = 4 π r²

r² = 154 / 4π 

∴ r² = 12.26 

∴ r = 3.5 cm 

Volume = 4/ 3 π r³

V = 4 / 3 x 3.14 x (3.5)³

∴ V = 179. 50 cm³ 

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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