The diameter of a metallic sphere is 8cm.The sphere is melted and drawn into a wire of uniform cross-section.If the length of the wire is 75m, find its radius. About the author Aaliyah
[tex]\qquad\quad\underline{\bf{\mid{\overline{\underline{\purple{\bigstar\: Answer:-}}}}}\mid}\\\\[/tex]⠀ We have Diameter of the sphere =6cm ∴ Radius of the sphere=6/2=3cm Volume of the sphere =4/3×π×3 3 cm 3=36πcm3 [V=4/3π3 3] Let the radius of the cross-section of wire be r cm It is given that the length of the cylindrical shaped wire is 36m ∴ Volume of the wire =(πr 2×3600)cm 3 [V=πr2h] since metallic sphere is converted into cylindrical shaped wire. Therefore, Volume of the wire = Volume of the sphere⇒r -r2=3636π\3600π =1/100 ⇒r= 1/10 1/10cm=1mm Reply
[tex]\qquad\quad\underline{\bf{\mid{\overline{\underline{\purple{\bigstar\: Answer:-}}}}}\mid}\\\\[/tex]⠀
We have
Diameter of the sphere =6cm
∴ Radius of the sphere=6/2=3cm
Volume of the sphere =4/3×π×3 3 cm 3=36πcm3 [V=4/3π3 3]
Let the radius of the cross-section of wire be r cm
It is given that the length of the cylindrical shaped wire is 36m
∴ Volume of the wire =(πr 2×3600)cm 3
[V=πr2h]
since metallic sphere is converted into cylindrical shaped wire.
Therefore,
Volume of the wire = Volume of the sphere⇒r
-r2=3636π\3600π
=1/100
⇒r= 1/10
1/10cm=1mm