Question

ratio of volumes of two spheres is 8:27 then ratio of their curved surface areas is

Answer 1

Hlo friend.. Cutiepie Here..

Nice question..

Here is ur answer :

Ratio of volumes of two spheres is 8 : 27


$ratio = \frac{volume \: of \:1st \: sphere}{volume \: of \:2nd \: sphere} = \frac{8}{27}$

$ratio = \frac{ \frac{4}{3}\pi {1r}^{3} }{ \frac{4}{3}\pi {2r}^{3} } = \frac{8}{27}$

$ratio = \frac{ {1r}^{3} }{ {2r}^{3} } = \frac{8}{27}$

$1r = 2$

$2r = 3$


Curved surface area of 1st sphere =
$4\pi {1r}^{2}$

$= 4\pi {(2)}^{2}$

$= 4\pi \: 4$


Curved surface area of 2nd sphere =
$4\pi {r}^{2}$

$= 4\pi {(3)}^{2}$


$= 4\pi \: 9$


Ratio of curved surface =
$\frac{curved \: \: surface \: \: area \: \: of \: \: 1st \: \: sphere}{curved \: \: surface \: \: area \: \: of \: \:2nd \: \: sphere \: }$

$= \frac{4\pi4}{4\pi9}$

$= \frac{4}{9}$


Therefore, ratio of the curved surface area of spheres is 4 : 9

HOPE IT HELPS YOU...

REGARDS
@sunita

Answer 2

Answer:

2:3

Step-by-step explanation:

im not sure of the last step but here it iss