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Find the radius of a sphere whose surface area ... - JAMB Mathematics 2009 Question

Find the radius of a sphere whose surface area is 154cm2.

A
7.00cm
B
3.50cm
C
3.00cm
D
1.75cm
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Correct Option: B

Surface area of a sphere = 4(\pi)r2

4(\pi)r2 = 154 cm2

(\pi)r2 = (\frac{154}{4})

= 38.5

(\pi)r2 = 38.5

r2 = 38.5 + (\frac{22}{7}) (\to) r2 = 38.5 x (\frac{7}{22})

r2 12.25 (\to) r = (\sqrt{12.25})

= 3.5 cm

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