Question

the volume of 2 spheres are in the ratio 125:64 .Find the ratio of the radii

Answer 1

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Answer 2

$\sf\huge{ANSWER}$

$\sf\tt{Question}$==>>

$<b><h>The volume of 2 spheres are in the ratio 125:64 .Find the ratio of the radii$

To Find??

Ratio of Radii.

let the Volume of first sphere be V1 and its radius as r1.

SIMILARLY, volume of second sphere be V2 and its radius be r2

it is given..

Ratio of volume=>

$\frac{V1}{V2}$ = $\frac{125}{64}$==(1)

Where V1 = $\frac{4}{3} π\times r1^{3}$

V2 = $\frac{4}{3} π\times r2^{3}$

from Equation 【1】

$\frac{\frac{4}{3}π\times r1^{3}}{\frac{4}{3} π\times r2^{3}}$ = $\frac{125}{64}$

(cancellation)

$\frac{r1^{3}}{r2^3}$ = $\frac{125}{64}$

applying cube root...

3√$\frac{r1^{3}}{r2^3}$ = 3√$\frac{5^{3}}{4^{3}}$

$\frac{r1}{r2}$ = $\frac{5}{4}$

therfore ratio of the radii of the two sphere's are..

5 : 4

$\tt{BE\: BRAINLY}$