Question

Find the radius of the sphere if the surface area of the sphere is 616 cm?​

Answer 1

$\LARGE{\bf{\underline{\underline{Solution:-}}}}$

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Given:-

Surface area of the sphere = 616 cm

To Find:-

• Radius of the sphere

$\boxed{\sf{\orange{S.A. = 4\pi r^{2}}}}$

As we know surface area

So,

616 = 4 × $\dfrac{22}{7}$ × r²

⟹ $\cancel \dfrac{616}{4}$ = $\dfrac{22}{7}$ × r²

⟹ 154 = $\dfrac{22}{7}$ × r²

⟹ 154 × 7 = 22 × r²

⟹ 1078 = 22 × r²

⟹$\cancel \dfrac{1078}{22}$ = r²

⟹ 49 = r²

⟹ r = √49

⟹ r = 7

Therefore, the radius of the sphere = 7 cm

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Answer 2

Answer:

Given:-

Surface area of the sphere = 616 cm

To Find:-

• Radius of the sphere

\boxed{\sf{\orange{S.A. = 4\pi r^{2}}}}S.A.=4πr2

As we know surface area

So,

616 = 4 × \dfrac{22}{7}722 × r²

⟹ \cancel \dfrac{616}{4}4616 = \dfrac{22}{7}722 × r²

⟹ 154 = \dfrac{22}{7}722 × r²

⟹ 154 × 7 = 22 × r²

⟹ 1078 = 22 × r²

⟹\cancel \dfrac{1078}{22}221078 = r²

⟹ 49 = r²

⟹ r = √49

⟹ r = 7

Therefore, the radius of the sphere = 7 cm