Question

The surface area of a sphere is $5544c{m}^2$, find its diameter.

Answer 1

Find the diameter of the sphere.

Given that, the surface area of the sphere $=5544c{m}^2$

The surface area of the sphere of radius $r$ $=4{\mathrm{\pi r}}^2$

$\therefore 4\times \mathrm{\pi }\times r^2=5544{\mathrm{cm}}^2$

We know that, $r=\frac{d}{2}$

$\therefore 4\times \mathrm{\pi }\times \frac{{\mathrm{d}}^2}{4}=5544{\mathrm{cm}}^2$

$\Rightarrow d^2=5544\times \frac{7}{22}$ ( $\mathrm{\pi }=\frac{22}{7}$ )

$\Rightarrow d^2=1764$

$\Rightarrow d=42cm$ (diameter can't be negative)

Hence, the diameter of the sphere is $42cm$.