Question

The surface area of two sphere is in the ratio 36:49 then the volume is

Answer 1

Answer:

Explanation:

let the radius of the first sphere be r1

....                              second sphere be r2

4λr1²/ 4λr2²= 36/49

r1²/r2²=36/49

r1/r2=6/7

ratio b/w volumes= 4/3λr1³/4/3λr2³

= r1³/r2³

=6³/7³

=216/343

Answer 2

Explanation:

Let the radii of two sphere = r and R

To fin$=\dfrac{ r^3 }{R^3}$d, the ratio of the volume of two sphere = ?

4$\dfrac{4\pi r^2}{4\pi R^2}=\dfrac{36}{49}$

⇒ $\dfrac{r^2}{ R^2}=\dfrac{6^2}{7^{2} }$

$(\dfrac{r}{ R{} })^2=(\dfrac{6}{7{} })^2$

$\dfrac{\dfrac{4}{3}\pi r^3 }{\dfrac{4}{3}\pi R^3}$

$=\dfrac{ r^3 }{ R^3}$

then after

$=\dfrac{ 216 }{ 343}$