Question

if the csa of sphere is 900π cm² find the radius ​

Answer 1

$\huge{\mathbb{\red{ANSWER:-}}}$

For a sphere -

Given :-

$\sf{Curved \: Surface \: Area = 900\pi \: cm^{2}}$

To Find :-

$\sf{radius \: of \: the \: sphere(r) = ?}$

Using Formula :-

$\sf{CSA \: of \: Sphere = 4\pi r^{2}}$

Solution :-

$\sf{Curved \: surface \: Area = 900\pi}$

$\sf{4\pi r^{2} = 900\pi}$

$\sf{4 r^{2} = 900}$

$\sf{r^{2} =\dfrac{900}{4}}$

$\sf{r^{2} = 225}$

$\sf{r = \sqrt{225}}$

$\sf{r = 15 \: cm}$

Result :-

$\sf{Radius \: of \: the \: sphere \: is \: 15 \: cm.}$

Extra Related Formulas :-

$(1)\sf{TSA \: of \: Sphere = 4\pi r^{2}}$

$(2)\sf{Volume \: of \: Sphere =\dfrac{4}{3}\pi r^{3}}$

Answer 2

Answer :-

$:\implies \underline{ \boxed{ \sf r = 15\: cm }}\: \: \: \: \Bigg\lgroup\textsf{\textbf{Radius of the Sphere}}\Bigg\rgroup$

Given :-

✦Csa of sphere is 900π cm²

Have to Find :-

Radius of the Sphere.

$\Large{\underline{\underline{\bf{Solutions:-}}}}$

➹Curved Surface Area of Sphere = 4πr²

➹900π = 4πr²

Substracting π from both sides we get :

➹ r² = 900 ÷ 4

➹ r² = 225

➹ r = √225

➹ r = 15 cm

$\sf\bigstar\:\underline{\purple{\:\:\: Radius \: of \: the \: sphere\: :-\:\:\:}}$ 15cm

✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･

Formulas required :-

Volume of cube = a³

Volume of sphere = 4/3πr³

Surface area of sphere = 4πr²