Question

what will be the diameter of a sphere whose surface area is 55.44 meter square?​

Answer 1

Answer:

Same question came in my maths exam

Answer 2

Answer:

Diameter of the sphere = 4.2 m(approx)

Step-by-step explanation:

Given :

Surface area of the sphere = 55.44 m²

To find :

The diameter of the sphere

Taken :

To find the diameter of the sphere use this formula -:

$\boxed{\rm{d=\sqrt{\dfrac{A}{\pi}}}}$

Where,

d = Diameter

A = Area

Solution :

$:\Rightarrow\rm{d=\sqrt{\dfrac{{55.44m}^{2}}{\dfrac{22}{7}}}}$

$:\Rightarrow\rm{d=\sqrt{{55.44m}^{2}\div\dfrac{22}{7}}}$

$:\Rightarrow\rm{d=\sqrt{{55.44m}^{2}\times\dfrac{7}{22}}}$

$:\Rightarrow\rm{d=\sqrt{\cancel{\dfrac{388.08}{22}}}}$

$:\Rightarrow\rm{d=\sqrt{17.64}}$

$:\Rightarrow\rm{d=4.2m(approx)}$

So , the diameter of the sphere is 4.2 m(approx) .