Math, asked by kanchanrani417, 2 months ago

the surface area of the sphere is 575 Pi cm2. find its volume.​

Answers

Answered by vsfakd
0

Answer:

Step-by-step explanation:

The required volume is 7241.14 cm³.

Since we have given that

Surface area of sphere = 576 pi cm. sq.

As we know the formula,

Surface area of sphere is given by

So, the volume of a sphere would be

Answered by dea1233
0

Answer:

2304 πcm³

Step-by-step explanation:

We \:  know \:  that \:  Surface \:    area  \: of  \: the \:  sphere \:  4πr2      \\  By  \: substituting \:  the \:   \: values \:  4 πr2 =576π  \\ On  \: further  \: calculation \:  r2 =  \frac{576}{4}  = 144  \\ By \:  taking \:  square \:  root \:  r = 12cm  \\ We \:  know  \: that \:  Volume \:  of  \: the \:  sphere \:  =  \frac{4}{3} πr3 \\  By  \: substituting  \: the  \: values  \: Volume  \: of  \: the \:  sphere =  \frac{4}{3} × π × (12)3  \\  \\ So  \: we  \: get  \: Volume  \: of  \: the \:  sphere \:  = 2304 π cm3  \\ Therefore, the \:  volume  \: of \:  the  \: sphere  \: is  \: 2304 π  cm3.

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