Question

The surface area of a sphere is 5544 cm², find its diameter.

Answer 1

Answer:

Step-by-step explanation:

TSA of a sphere = 5544 cm²

4πr² = 5544

πr² = 5544 / 4

πr² = 1386

22 / 7 × r² = 1386

r² = 1386 × 7 / 22

r² = 441

r = √441

r = 21 cm

The diameter is equal to twice the radius so diameter = 42 cm

Answer 2

$\underline{ \sf \fcolorbox{red}{pink}{ \huge{Solution :)}}}$

Given ,

The surface area of a sphere = 5544 cm²

We know that , the suraface area of sphere is given by

$\large \sf \fbox{TSA \: of \: sphere = 4\pi {(r)}^{2} }$

Substitute the known values , we get

➡5544 = 4 × (22/7) × (r)²

➡5544 = (88/7) × (r)²

➡(r)² = 38808/88

➡r = √441

➡r = 21 cm

Since , Diameter = 2 × radius , so

➡Diameter = 42 cm

Hence , the diameter of sphere is 42 cm

___________ Keep Smiling ☺