Math, asked by nencypatel652, 2 months ago

find the volume of a sphere whose radius is 7 cm​

Answers

Answered by Anonymous
41

Solution -

We have,

  • Radius of a sphere = 7cm

We need to find the volume of sphere.

Using formula,

\large{\bf{\longmapsto{\boxed{\pink{Volume = \dfrac{4}{3} \pi r^3}}}}}

Putting values

\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{4}{3} \times \dfrac{22}{7} \times 7 \times 7 \times 7}

\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{4}{3} \times 22 \times 7 \times 7}

\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{88}{3} \times 49}

\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{4312}{3}}

\frak:\implies\: \: \: \: \: \: \: \: {\purple{Volume = 1,437.33\: cm^3}}

\small\underline{\sf{Hence,\: volume\: of\: the\: sphere\: is\: 1,437.33cm^3}}

Answered by Anonymous
6

 \huge \frak{Solution}

Concept-

  • In this query, we will use the formula for volume of a sphere. Than calculate and find the volume of the sphere.

Calculation-

  •  \large \bf{Radius = 7cm} \} \: given

Formula used-

  •  \large{ \boxed{ \mathtt{ \green{ \dfrac{4}{3} \pi {r}^{3} }}}}

Putting value-

  •    \bf \blue {Volume = \dfrac{4}{3}  \times  \dfrac{22}{ \cancel{7}} \times \cancel{ 7} \times 7 \times 7  }

  •  \bf \blue{Volume = \dfrac{4}{3} \times 22 \times 49  }

  •  \bf \blue {Volume = \dfrac{88}{3}  \times 49}

  •   \bf \blue{Volume = \dfrac{4312}{3} }

  •   :  \implies \:  \:  \: \bf \blue {Volume = 1,437.33^3}

Final answer-

 \implies 1,437 .33 ^{3}

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