Question 39

Jambmaths question: 

Find the radius of a sphere whose surface area is 154 cm2  [Take $\pi =\tfrac{22}{7}$]

Option A: 

7.00cm

Option B: 

3.50cm

Option C: 

3.00cm

Option D: 

1.75cm

Jamb Maths Solution: 

$\begin{align}  & Surface\text{ }area\text{ }of\text{ }a\text{ }sphere~=A=4\pi {{r}^{2}} \\ & A=4\pi {{r}^{2}} \\ & 154=4\times \tfrac{22}{7}\times {{r}^{2}} \\ & {{r}^{2}}=\frac{154\times 7}{4\times 22}=\frac{49}{4} \\ & r=\sqrt{\frac{49}{4}}=\frac{7}{2}=3.50cm \\\end{align}$

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