If the surface area of a sphere is $$2124\frac 47 \ cm^2$$​, then what is the radius of that sphere? [Use π = 22/7 ]

Correct option is D

Given: 

Area of sphere = 2124$$\frac{4}{7}$$ cm² = $$\frac{14872}{7}$$ 

Formula used:

Surface Area of Sphere A = $$4\pi$$​r²​

r = radius

$$\pi$$ = $$\frac{22}{7}$$  

Solution : ​

Using the surface area formula ; 

A =$$4\pi$$​​r²​

Substituting the values;​

4$$\times$$ $$\frac{22}{7}$$$$\times$$ r² = $$\frac{14872}{7}$$  

r² = $$\frac{14872}{7} \times \frac{7}{4 \times 22}$$ 

r² = $$\frac{14872}{88}$$ = 169

r = $$\sqrt{169}$$ 

r = 13

The radius of the sphere r = 13 cm

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