The surface area of a sphere is $5544\ cm^2$, find the diameter.

 Given:

The surface area of a sphere is $5544\ cm^2$.

To do:

We have to find the diameter.

Solution:

Let $r$ be the radius of the sphere.

Therefore,

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

$4 \times \frac{22}{7} \times r^{2}=5544$

$r^{2}=\frac{5544 \times 7}{4 \times 22}$

$=63 \times 7$

$=441$

$=(21)^{2}$

$\Rightarrow r=21 \mathrm{~cm}$

This implies,

Diameter of the sphere $=2 r$

$=2 \times 21$

$=42 \mathrm{~cm}$

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Updated on: 10-Oct-2022

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