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Find the radius of a sphere whose surface area is 154 cm\(^2\)?

Mathematics
JAMB 2009

Find the radius of a sphere whose surface area is 154 cm\(^2\)?

  • A. 7.00 cm
  • B. 3.50 cm
  • C. 3.00 cm
  • D. 1.75 cm
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Correct Answer: Option B
Explanation

Surface Area of a sphere = 4\(\pi\)r\(^2\)

S.A of a sphere = 154 = 4 x \(\frac{22}{7}\) x r\(^2\)

r\(^2\) = \(\frac{154 \times 7}{4 \times 22}\)

r\(^2\) = \(\frac{49}{4}\)

r = \(\sqrt{\frac{49}{4}}\)

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

r = 3.5cm.

 

There is an explanation video available below.


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Explanation Video

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