Question

if surface area of sphere and volume of sphere is equal then find the radius

Answer 1

Heyaa...☺☺✌

❤❤❤❤❤
_______________________________
_____________________

Surface area of sphere =
$4\pi {r}^{2}$

Volume of sphere =
$\frac{4}{3} \pi {r}^{3}$

So
$= > 4\pi {r}^{2} = \frac{4}{3} \pi {r}^{3} \\ \\ = > 1 = \frac{1}{3} r \\ \\ = > r = 1 \times 3 \\ \\ = > r = 3$

✔So radius = 3
______________________________
____________________

❤❤❤❤❤

Thanks...☺☺✌

Answer 2

As we know that,

$surface \: area = 4 \pi {r}^{2}$

$volume = \frac{4}{3} \pi {r}^{3}$

Given, These both are equal so we have equation like this:-

=> Suface area = Volume

=> 4πr^2 = 4/3 πr^3

=> 4πr^2/4πr^3 = 1/3

=> 1 x r = 1/3 [ Cross Multiplication ]

=> r = 3 unit.




Be Brainly