The area of the bases of two similar glasses are in the ratio 4:25. Find the ratio of their volumes.
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Answers
Answered by
10
Answer:
8:125
Explanation:
Let r,R are radii of two spheres
Ratio of surface areas = 4:25
=> (4πr²)/(4πR²) = 2²/5²
=> (r/R)² = (2/5)²
=> r/R = 2/5 ----(1)
Now ,
Ratio of volumes =
[(4/3)πr³]/[(4/3)πR³]
= (r/R)³
= (2/5)³
= 8/125
= 8:125
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Answered by
3
Answer:
The surface area of two sphere are in the ratio of 4:25. Substitute the value, Therefore, the ratio of their volume is 8:125.
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