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Find the Diameter of the Sphere for the Following : Volume = 72 π Cm 3 - Mathematics

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प्रश्न

Find the diameter of the sphere for the following : 

Volume = `72pi "cm"^3`

बेरीज
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उत्तर

Volume = `72pi "cm"^3`

Volume of sphere = `4/3pir^3 = 72pi`

⇒ `4/3pir^3 = 72pi`

⇒ `4/3 xx r^3 = 72`

⇒ `r^3 = (72 xx 3)/4 = 216/4`

⇒ `r^3 = 54`

⇒ `r = 3 root(3)(2)` cm

Radius = `3 root(3)(2)` cm `3 root(3)(2)` ⇒ Diameter = 2r = `6 root(3)(2)` cm  `root(3)(2)`

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पाठ 20: Mensuration II - Exercise 20.2

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 20 Mensuration II
Exercise 20.2 | Q 12.02
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