Question

A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm,which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm³ of iron has approximately 8 g mass. [Use π =3.14]

Answer 1

From the figure, it can be observed that

Height (h₁) of larger cylinder = 220 cm

Radius (r₁) of larger cylinder = 24/2=12 cm

Height (h₂) of smaller cylinder = 60 cm

Radius (r₂) of smaller cylinder = 8 cm

Total volume of pole = Volume of larger cylinder +Volume of smaller cylinder 

Mass of 1cm³ iron = 8 g

Mass of 111532.8 cm³iron = 111532.8 × 8 = 892262.4 g 

= 892.262 kg