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  • Find the radius of a sphere whose surface area is 154 cm^2.

Q : 6     Find the radius of a sphere whose surface area is \small 154\hspace{1mm}cm^2.
 

Answers (1)

best_answer

Given,

The surface area of the sphere = \small 154\hspace{1mm}cm^2

We know,

The surface area of a sphere of radius r = 4\pi r^2

\therefore 4\pi r^2 = 154

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

\\ \Rightarrow r^2 = \frac{154\times7}{4\times22} = \frac{7\times7}{4}

\\ \Rightarrow r = \frac{7}{2}

\\ \Rightarrow r = 3.5\ cm

Therefore, the radius of the sphere is 3.5\ cm

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Nehul

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