Question

find the volume of a sphere whose surface area is 5544cm2​

Answer 1

Answer:

Volume =  38808 cm³.

Step-by-step explanation:

Let us assume than the radius of the given sphere is 'r' cm.

The Surface Area of a sphere = 4π²

We are given The  Surface Area of a sphere as 5544cm².

4πr² =  5544cm²

$\sf PIE = \dfrac{22}{7}$

Then,

$4* \dfrac{22}{7} *r^2 = 5544$

$\sf r^2 = \dfrac{5544*7}{4*22}$

$\sf r^2 = \dfrac{38808}{88}$

$\sf r^2 = 441$

$r = \sqrt{441}$

r = 21cm.

$\sf Volume \;of \;a\; sphere = \dfrac{4}{3} \;pie\; r^3$

Here , r = 21 cm

$Volume = \dfrac{4}{3} * \dfrac{22}{7} * 21^3$

                = 88 × 21²

                = 88 × 441

                = 38808 cm³