English, asked by manabmitra62, 10 months ago

find the volume of a sphere whose surface area is 154 cm² .​

Answers

Answered by pthb
1

Answer:

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Explanation:

Sphere

Solve for 

volume

V

179.7

cm³

A

Surface area

Answered by Anonymous
7

Given,

Surface area of sphere is 154 cm^2

Surface area of sphere = 4πr^2

4 \times  \frac{22}{7}  \times  {r}^{2} = 154\\ {r}^{2}  =  \frac{154}{4}  \times  \frac{7}{22}\\{r}^{2}  =  \frac{49}{4} \\r =  \sqrt{ \frac{49}{4} }\\r = \frac{7}{2}\\r= 3.5cm \\

Volume of sphere = 4/3πr^3

\frac{4}{3}  \times  \frac{22}{7}  \times  {3.5}^{3}  \\  \frac{88}{21}  \times 42.875 = 179.67 {cm}^{3}

Therefore the volume of sphere is 179.67cm^3.

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