NCERT Solution Class X Mathematics Surface Areas and Volumes Question 6 (Ex 13.2)

Question 6:

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:

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 1 cm3  iron = 8 g

Mass of 111532.8 cmiron = 111532.8 × 8 = 892262.4 g = 892.262 kg

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