Q : 7     Find the volume of a sphere whose surface area is \small 154\hspace{1mm}cm^2.

Answers (1)

Given,

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

We know, Surface area of a sphere = 4\pi r^2

\therefore 4\pi r^2 = 154

\\ \Rightarrow 4\times\frac{22}{7}\times r^2 = 14\times11 \\ \Rightarrow r^2 = \frac{7\times7}{4} \\ \Rightarrow r = \frac{7}{2} \\ \Rightarrow r = 3.5\ cm

\therefore  The volume of the sphere = \frac{4}{3}\pi r^3

= \frac{4}{3}\times\frac{22}{7}\times (3.5)^3

= 179\frac{2}{3}\ cm^3

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