Math, asked by Mister360, 1 month ago

Find the volume of sphere whose Diameter is 6 cm.

Answers

Answered by PanchalKanchan
9

Question :

Find the volume of sphere whose Diameter is 6 cm.

Answer :

\sf\pink{Given :}

  • diameter is 6 cm .

\sf\pink{To\:find:}

  • volume of the sphere ?

Explanation :

Radius = half of diameter

Radius = 3 cm .

Volume of sphere = \sf{\dfrac {4}{3} \pi {r}^{3}}

\\ \longrightarrow\sf{\dfrac {4}{3}\times \dfrac {22}{7}\times {3}^{3}}

\\ \longrightarrow\sf{\dfrac {4}{3}\times \dfrac {22}{7}\times 27}

\\ \longrightarrow\sf{4\times \dfrac{22}{7}\times 9}

\\ \longrightarrow\sf{ \dfrac{88}{7}\times 9}

\\ \longrightarrow\sf{ \dfrac{792}{7}}

\\ \longrightarrow\sf{ 113.14 }

  • volume is 113.14 cm cube

Answered by Anonymous
4

Answer:

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Step-by-step explanation:

Formula used :

Volume of sphere of radius 'r' =\frac{4}{3}\pi\:r^3

cubic units

___________________________________

Given:

Diameter of the sphere = 6 cm

Radius of the sphere = d/2 = 6/2 = 3 cm

Volume of sphere

\begin{gathered}= \frac{4}{3}\pi\:r^3 cubic \:  \:  units\\\\= \frac{4}{3}\pi\:(3)^3\\\\= 4\pi\:(3)^2\\\\=36\:\pi\:cubic\:cm.\end{gathered}

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