Physics, asked by sadhanroydot542, 10 months ago

how to find the volume of a sphere radius 6 CM in step by step ​

Answers

Answered by BrainlyConqueror0901
9

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\tt{\therefore{Volume\:of\:sphere=904.32\:cm^{3}}}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

 \green{\underline \bold{Given :}} \\  \tt:  \implies Radius \: of \: sphere = 6 \: cm \\  \\  \red{\underline \bold{To \: Find : }} \\ \tt:  \implies Volume \: of \: sphere = ?

• According to given question :

 \bold{As \: we \: know \: that} \\  \tt:  \implies Volume \: of \: sphere =  \frac{4}{3} \pi {r}^{3}  \\  \\ \tt:  \implies Volume \: of \: sphere = \frac{4}{3}  \times 3.14 \times  {6}^{3}  \\  \\  \tt:  \implies Volume \: of \: sphere = \frac{4}{3} \times 3.14 \times 6 \times 6 \times 6 \\  \\  \tt:  \implies Volume \: of \: sphere = 4 \times 3.14 \times 6 \times 6 \times 2 \\  \\  \green{\tt:  \implies Volume \: of \: sphere =904.32  \: {cm}^{3} } \\  \\  \blue{ \bold{Some \: related \: formula : }} \\  \orange{ \tt \circ  \: T.S.A \: of \: sphere =  4 {\pi r}^{2} } \\  \\ \orange{ \tt \circ  \: T.S.A. \: of \: hemisphere =  3{\pi r}^{2} } \\  \\ \orange{ \tt \circ  \: Volume \: of \: hemisphere =   \frac{2}{3}  {\pi r}^{3} }

Answered by Anonymous
18

Explanation:

 \bf \huge \: Question \:  \:  \:

  • how to find the volume of a sphere radius 6 CM in step by step

_________________________

 \bf \huge \: To\:  \:  Find\:

  • The volume of a sphere

_________________________

 \bf \huge \: Given \:  \:  \:

  • sphere radius 6 CM

___________________________

The volume of a sphere is given as \bf 4/3  \pi r^3\:  \:

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm,

we can plug that in to the formula

 \bf 4/3  \pi 6^3\:  \:

Put this into the calculator, and we see that the volume is \bf 904.8cm^3\:  \:

The volume of a sphere is \bf</strong><strong> </strong><strong>9</strong><strong>0</strong><strong>4</strong><strong>.</strong><strong>8</strong><strong>c</strong><strong>m</strong><strong>^</strong><strong>3</strong><strong> \:

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