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Maharashtra State BoardSSC (English Medium) 9th Standard

Find the radius of a sphere if its volume is 904.32 cubic cm. (π = 3.14) - Geometry

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Question

Find the radius of a sphere if its volume is 904.32 cubic cm. (π = 3.14)

Sum

Solution

Let the radius of the sphere be r cm.

Volume of the sphere = 904.32 cm3

∴ `4/3`πr3 = 904.32 cm3

⇒ r3 = `[ 904.32 xx 3]/[4 xx 3.14]`

⇒ r3 = 216

⇒ r3 = (6)3

⇒ r = 6 cm

Thus, the radius of the sphere is 6 cm.

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Chapter 9: Surface Area and Volume - Problem Set 9 [Page 123]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Problem Set 9 | Q 4. | Page 123
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