Question

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

Answer 1

Surface area of a sphere is 5544cm^2`

⇒${\displaystyle 4\pi r^2-5544}$

⇒${\displaystyle \frac{4\times 22}{7} \times r^2-5544}$

⇒${\displaystyle r^2-\frac{5544 \times 7}{88}}$

⇒ r - ${\displaystyle \sqrt{21cm \times 21cm}-\sqrt{{\left(21\right)}^{2}cm}}$

⇒ r - 21 cm 

Diameter = 2 (radius )

-2 (21cm)

- 42 cm .