Question

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

Answer 1

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

Answer 2

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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