Question

The curved surface area of two hemispheres are in the ratio 36:49. Find the ratio of their radii​

Answer 1

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 = ?

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

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

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

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

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

then after

$=\dfrac{ 216 }{ 343}=$