The surface area of a sphere is $3844\ m^{2}$. Find the radius of the sphere.

Given: The surface area of a sphere is $3844\ m^{2}$.

To do: To find the radius of the sphere.

Solution:

As given surface area of the sphere is $3844\ m^{2}$.

Let $r$ be the radius of the sphere.

$\Rightarrow$ Surface area of the sphere$=4\pi r^2=3844$

$\Rightarrow r^2=\frac{3844}{4\pi}$

$\Rightarrow r^2=\frac{3844}{4\times3.14}$

$\Rightarrow r^2=305.80$

$\Rightarrow r=\sqrt{305.80}$

$\Rightarrow r=17.48\ m$

Thus, radius of the sphere is $17.48\ m$.

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Updated on: 10-Oct-2022

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