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Find the Radius of the Sphere Whose Surface Area is Equal to Its Volume .

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Question

Find the radius of the sphere whose surface area is equal to its volume .

Sum
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Solution

Surface area = volume 

⇒ `4pir^2 = 4/3pir^3`

⇒ `3r^2 = r^3`

⇒ r = 3

Radius of the sphere = 3 units 

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