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A sphere is perfectley encloused inside a cube of volume 36cm cube.find the volume of sphere
Asked by ab8367153 | 30 Oct, 2023, 20:47: PM
answered-by-expert Expert Answer
If a is side length of cube , then volume of cube is a3
 
Given volume of cube =  36 cm
 
Hence side length of cube is calculated as
 
begin mathsize 14px style a cubed space space equals space 36 end style
begin mathsize 14px style a space equals space cube root of 36 space equals space 3.302 space c m end style
Volume of sphere = begin mathsize 14px style 4 over 3 straight pi space open parentheses straight a over 2 close parentheses cubed space equals space 4 over 3 straight pi space open parentheses fraction numerator 3.302 over denominator 2 end fraction close parentheses cubed space equals space 18.85 space cm cubed end style

 

Answered by Thiyagarajan K | 31 Oct, 2023, 10:00: AM

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