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Find the radius (r) of an aluminum cylinder that is 2.60 cm long and has a mass of 13.1 g . For a cylinder, V=πr2l. (The density of aluminum is 2.70 g/cm^3.)

Answer :

JoshEast
Volume of Aluminium cylinder  =  mass  ÷  density
                                                 =  13.1 g  ÷  2.70 g / cm³
                                                 =  4.85 cm³

If Volume of Cylinder =  πr²l
then            4.85 cm³ =   πr²(2.60cm)
thus    r²  =  [tex]\frac{4.85 cm ^{3} }{ \pi * 2.6 cm}[/tex]
  ∴       r   ≈  √(0.594 cm)
               ≈ 0.771 cm

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