MathematicsIf a ball in the shape of a sphere has a surface area of 221.76cm2 then, which of the following is the value of its diameter?

If a ball in the shape of a sphere has a surface area of $221.76 {cm}^{2}$ then, which of the following is the value of its diameter?

It is given a sphere with surface area =

221.76 {cm}^{2}

.
Let radius of sphere be

r

cm.
Surface area of sphere

= 4 π r^{2}

⟹

{221.76 cm}^{2} = 4 π r^{2}

\Rightarrow \frac{221.76}{4} = π r^{2}

⟹ 55.44

π r^{2}

⟹

17.6560=

r^{2}

⟹ r = 4.2 cm

Diameter = 2r
Diameter = 8.4cm
Hence, the value of diameter is 8.4cm.
Therefore, option 1 is correct.

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