Answer :
Step-by-step explanation:
Diameter=10cm
Radius=Diameter/2=10/2=5cm
Now
[tex]\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3\end{gathered}[/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125\end{gathered} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}\end{gathered} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8\end{gathered} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)\end{gathered} [/tex]
Volume of the sphere is 524 [tex]cm^{3}[/tex]
What is Volume?
"Volume is the total amount of space occupied by any three dimensional object."
What is sphere?
" A sphere is three dimensional shape which is equidistant from its center."
Formula used to calculate Volume of a sphere
Volume of a sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
According to question,
Diameter = 10cm
Radius = [tex]\frac{Diameter}{2}[/tex]
= [tex]\frac{10}{2}[/tex]
= 5cm
Volume of a sphere = [tex]\frac{4}{3}[/tex] ×[tex]\pi[/tex]×[tex]5^{3}[/tex]
= [tex]\frac{4}{3}[/tex] ×[tex]\frac{22}{7}[/tex] × [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex]
= 523.8
= 524 [tex]cm^{3}[/tex] (round to the nearest tenth)
Hence Volume of a sphere is 524 [tex]cm^{3}[/tex].
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