the outer diameter and thickness of hollow spherical shell are 21 cm nad 3 cm . find the vol. of the shell
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Volume of the material of hollow sphere = (4/3)π ×(R³ - r³)
= (4/3)π×(5³ -3³) = 392π/3 cm³
now it is melted to form cylinder ,
so volume of cylinder = volume of the material of sphere
⇒π r² ×h =392π/3 cm³
⇒r² = (392×3)/( 32×3)
= 12.25
⇒r =√12.25 = 3.5 cm
so diameter of cylinder = 3.5×2 = 7 cm
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