Question

Find the volume of a sphere having radius 5 cm​

Answer 1

Answer:

V≈523.6

Step-by-step explanation:

V=4

3πr3=4

3·π·53≈523.59878

Answer 2

Given : The Radius of Sphere is 5 cm .

Exigency to find : Volume of Sphere .

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⠀⠀⠀⠀⠀Finding Volume of Sphere :

$\dag\:\:\it{ As,\:We\:know\:that\::}$

$\qquad \dag\:\:\bigg\lgroup \sf{Volume_{(Sphere)} \:: \dfrac{4}{3} \pi \times r^3 }\bigg\rgroup$

⠀⠀⠀⠀⠀Here r is the Radius of Sphere & $\pi = \dfrac{22}{7}\:\:or\:\:3.14\:$

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad \longmapsto \sf Volume \:\:= \dfrac{4}{23} \times \pi \: 5^3$

$\qquad \longmapsto \sf Volume \:\:= \dfrac{4}{3} \times \pi \times 125$

$\qquad \longmapsto \sf Volume \:\:= \dfrac{4}{3} \times \dfrac{22}{7} \times \: 125$

$\qquad \longmapsto \sf Volume \:\:= \dfrac{4}{3} \times \cancel {\dfrac{22}{7}} \times \: 125$

$\qquad \longmapsto \sf Volume \:\:= \dfrac{4}{3} \times 3.14 \times \: 125$

$\qquad \longmapsto \sf Volume \:\:= \dfrac{4}{\cancel {3}} \times \cancel {392.5}$

$\qquad \longmapsto \sf Volume \:\:= 4\times 130.83$

$\qquad \longmapsto \frak{\underline{\purple{ Volume \approx 523.6 cm^3 }} }\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Volume \:of\:Sphere \:is\:\bf{\approx 523.6\: cm^3}}}}$

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$\large {\boxed{\sf{\mid{\overline {\underline {\star More\:To\:know\::}}}\mid}}}$

$\qquad \leadsto \sf Area_{(Rectangle)} = Length \times Breadth$

$\qquad \leadsto \sf Perimeter _{(Rectangle)} = 2 (Length + Breadth)$

$\qquad \leadsto \sf Area_{(Square)} = Side \times Side$

$\qquad \leadsto \sf Perimeter _{(Square)} = 4 \times Side$

$\qquad \leadsto \sf Area_{(Trapezium)} = \dfrac{1}{2} \times Height \times (a + b )$

$\qquad \leadsto \sf Area_{(Parallelogram)} = Base \times Height$

$\qquad \leadsto \sf Area_{(Triangle)} = \dfrac{1}{2} \times Base \times Height$

$\qquad \leadsto \sf Area_{(Rhombus)} = \dfrac{1}{2} \times Diagonal _{1}\times Diagonal_{2}$

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