Question

The diameter ofa sphere whose surface area is 616cmis..​

Answer 1

Answer :

• Diameter of sphere is 14cm

Given :

• Area is 616 cm

To find :

• Diameter of sphere

Solution :

As we know that,

• Surface area of sphere = 4πr²

》616 = 4πr²

》616 = 4 × 3.14 × r²

》r² = 616 / 3.14 × 4

》r² = 49cm

》r = √49

》r = 7cm

Hence , Radius is 7cm

Now , we have to find the Diameter

As we know that ,

• Diameter = 2 × r

》Diameter = 2 × r

》2 × 7

》 14cm

Hence , Diameter of sphere is 14cm

Answer 2

Given:-

• Surface area of Sphere = 616 cm³.

To Find:-

• Diameter of Sphere

Formula used:-

• Radius = $\dfrac{Diameter}{2}$

• Surface area of Sphere = 4πr²

Solution:-

➤ Surface area of Sphere = 4πr²

➤ 616 = $4×\dfrac{22}{7}×r²$

➤ r² = $\dfrac{616×7}{22×4}$

➤ r² = $7×7$

➤ r² = $49$

➤ r = $\sqrt{49}$

➤ r = $7\:cm$

And,

➤ Diameter = 2 × Radius

➤ Diameter = 2 × 7

➤ Diameter = 14 cm.

Hence, the diameter of the given cube is 14 cm.

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More Formula of Sphere:-

• Volume of Sphere = [tex]\dfrac{4}{3}πr³

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