Question

the diameter of a sphere of volume 1437 1/3 cu. cm is ________(pie =22/7)
Class 10_Sample paper_Blind Students paper-2020-21​

Answer 1

Answer:

Volume of sphere = 4/3 x π x r³
Volume = 1437 1/3
=> Volume = [(3 x 1437) + 1]/3
=> Volume = (4311 + 1)/3
=> Volume = 4312/3
=> 4/3 x π x r³ = 4312/3
=> 4/3 x 22/7 x r³ = 4312/3
=> r³ = 4312/3 x 3/4 x 7/22
=> r³ = (4312 x 3 x 7)/(3 x 4 x 22)
=> r³ = (196 x 7)/4
=> r³ = 1372/4
=> r³ = 343
=> r = 7cm

Diameter = 2r
Diameter = 2 x 7 = 14cm

Therefore, the diameter of sphere is 14cm.

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Answer 2

Hope this will help you.