Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?
Option 1: 5 : 8
Option 2: 7 : 9
Option 3: 5 : 7
Option 4: 9 : 5

Question

Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?

Option 1: 5 : 8

Option 2: 7 : 9

Option 3: 5 : 7

Option 4: 9 : 5

Team Careers360 · Accepted Answer

Correct Answer: 9 : 5

Solution : Let the radii of two spheres be $r, R$, respectively.
According to the question,
$\frac{4\pi r^2}{3\pi R^2}=\frac{81}{25}$
$⇒\frac{r^2}{R^2}=\frac{81}{25}$
$ herefore \frac{r}{R}=\frac{9}{5}$
Hence, the correct answer is 9 : 5.

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Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?Option 1: 5 : 8Option 2: 7 : 9Option 3: 5 : 7Option 4: 9 : 5

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Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?
Option 1: 5 : 8
Option 2: 7 : 9
Option 3: 5 : 7
Option 4: 9 : 5