A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal thickness is 0.4 cm. Calculate the volume of the metal.
A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal thickness is 0.4 cm. Calculate the volume of the metal.

Solution:

Given internal diameter of the tube = 11.2 cm

Internal radius, r = d/2 = 11.2/2 = 5.6 cm

Length of the tube, h = 21 cm

Thickness = 0.4 cm

Outer radius, R= 5.6+0.4 = 6 cm

Volume of the metal = R2h- r2h

= h(R2-r2)

= (22/7)×21×(62-5.62)

= 66×(6+5.6)(6-5.6)

= 66×11.6×0.4

= 306.24 cm3

Hence the volume of the metal is 306.24 cm3.