Math, asked by safewaterheater, 8 months ago

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 Anonymous
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 Anonymous
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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