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

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Question

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

Sum

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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Chapter 20: Mensuration II - Exercise 20.2

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 20 Mensuration II
Exercise 20.2 | Q 17

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