Question

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

Answer 1

Given :

• C.S.A of Sphere is 900π cm² .

To Find :

• Radius of Sphere .

Solution :

For Radius :

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Sphere=4\pi{{r}^{2}}}$

Putting Values :

$\longmapsto\tt{900{\not{\pi}}=4{\not{\pi}}{{r}^{2}}}$

$\longmapsto\tt{900=4\times{{r}^{2}}}$

$\longmapsto\tt{\cancel\dfrac{900}{4}={r}^{2}}$

$\longmapsto\tt{225={r}^{2}}$

$\longmapsto\tt{\sqrt{225}=r}$

$\longmapsto\tt\bf{15\:cm=r}$

So , The Radius of Sphere is 15 cm ..

_______________________

• Surface Area of Sphere = 4πr²
• Volume of Sphere = 4/3 πr³
• C.S.A of Hemisphere = 2πr²
• T.S.A of Hemisphere = 3πr²
• Volume of Hemisphere = 2/3 πr³

_______________________

Answer 2

Answer:

$\huge \bf \: question$

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

$\huge \bf \: to \: find$

Height of sphere

$\huge \bf \: solution$

As we know that C.S.A of sphere = 4πr²

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

$900 = </u></strong><strong><u>4</u></strong><strong><u> </u></strong><strong><u>\</u></strong><strong><u>t</u></strong><strong><u>i</u></strong><strong><u>m</u></strong><strong><u>e</u></strong><strong><u>s</u></strong><strong><u> </u></strong><strong><u>{r}^{2}$

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

$\sqrt{225} = {r}$

$15cm$

So , the height of sphere = 15 cm.