एक गोल ओर घन का क्षेत्रफल समान है आयतन का अनुपात बताओ
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Answer: 1/√(44/21)
Step-by-step explanation:
Given,
Area of Sphere= Area of Cube
=> 4πr² = 6(side)²
=> 2/3πr² = (side)² ----------eq(i)
=>(side)= √(2/3π) x r -------eq(ii)
To find,
Volume of Sphere:Volume of Cube=?
=> Volume of Sphere/Volume of Cube = 4/3 x πr³/(side)³
=> 4/3 x πr³/(side)² x (side)
=> 4/3 x 22/7 x r³ / (2/3πr²) x (√(2/3π) x r)
(Now after evaluation)
Ans:- 1/√(44/21)
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