The radii of two spheres are in the ratio 3:5 The ratio of their volumes is

9 : 25

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27 : 125

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\sqrt{3} : \sqrt{5}

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\sqrt[3]{3} : \sqrt[3]{5}

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Solution

The correct option is B $27 : 125$
Ratio of radii = $3 : 5$
$∴$ Ratio of volumes $=$ $\frac{4}{3} π r_{1}^{3} : \frac{4}{3} π r_{2}^{3}$
$= 3^{3} : 5^{3}$
$= 27 : 125$

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Similar questions

The ratio of the radii of two cylinders is $2 : 3$ and the ratio of their heights is $5 : 3.$ The ratio of their volumes will be

(a) $4 : 9$

(b) $9 : 4$

(d) $27 : 20$

The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio $5 : 3.$ Calculate the ratio of their volumes.

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