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The surface area of sphere is 550 cm2. Its radius is ………

A) 6.6 cm 

B) 5.6 cm 

C) 5.5 cm 

D) 7.6 cm

2 Answers

+1 vote
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Best answer

Correct option is: A) 6.6 cm

Given that the surface area of sphere is S = 550 \(cm^2\).

\(\therefore\) \(4 \pi r^2 = 550\)

\(\Rightarrow\) \(r^2 = \frac {550}{4 \pi} = \frac {550 \times 7}{4 \times 22} = \frac {25 \times 7}{4} = (\frac 52)^2 \times 7\)

\(\Rightarrow\) r = \(\frac 52 \sqrt7 \, cm = 2.5 \times 2.64 \, cm = 6.6 \, cm\)

Hence, radius of the sphere is 6.6 cm.

+1 vote
by (34.5k points)

Correct option is: A) 6.6 cm

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