Question

I am asking you a Question Can You Answer Me. ​

Answer 1

Answer:

Given: Surface area of sphere = 2826 sq.cm. = 14130 cubic cm. ∴ The volume of the sphere is 14130 cubic cm.

Answer 2

Given:

• Surface area of sphere is 2826cm²
• π = 3.14

To find:

• Volume of sphere ?

Solution:

We are given that surface area of sphere is 2826cm².

We know that:

$\large{\boxed{\sf{Surface\:area_{(sphere)}\:=\: 4πr²}}}$

Put all known values in formula:

$\large{\sf{2826\:=\: 4×3.14×r²}}$

$\large{\implies{\sf{2826\:=\:12.56×r²}}}$

$\large{\implies{\sf{r²\:=\:\dfrac{2826}{12.56}}}}$

$\large{\implies{\sf{r²\:=\:{\cancel\dfrac{282600}{1256}}}}}$(multiplied by 100 in numerator and denominator)

$\large{\implies{\sf{r²\:=\: 225}}}$

$\large{\implies{\sf{r\:=\:\sqrt{225}}}}$

$\large{\implies{\sf{r\:=\:15}}}$

• From here, we found that radius of sphere is 15cm

Now, We know that :

$\large{\boxed{\sf{volume_{(sphere)}\:=\: \dfrac{4}{3}πr³}}}$

Putting known values in formula:-

$\large{\sf{Volume_{(sphere)}\:=\: \dfrac{4}{3}πr³}}$

$\large{\implies{\sf{Volume_{(sphere)}\:=\: \dfrac{4}{3}×3.14×15×15×15}}}$

$\large{\implies{\sf{Volume_{(sphere)}\:=\:\dfrac{4}{\cancel{3}}×3.14×15×15×{\cancel{15}}}}}$

$\large{\implies{\sf{Volume_{(sphere)}\:=\: 4×3.14×15×15×5}}}$

$\large{\implies{\sf{Volume_{(sphere)}\:=\: 14130}}}$

Therefore,

$\large{\boxed{\pink{\tt{Volume\:of\:sphere\:is\:14130cm³}}}}$

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