Question

a wooden pole is 7m high and 20 cm in diameter . find its weight if the wood weights 225 kg per m²​

Answer 1

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Question : A wooden pole is 7 m high and 20 cm in diameter . find its weight if the wood weights 225 kg per m³ ?

Given data : A wooden pole is 7 m high and 20 cm in diameter.

To find : The weight of wooden pole if the wood weights 225 kg per m³.

Solution : {according to given data} Let, shape of wooden pole be cylindrical.

Now,

⟹ height of wooden pole = 7 m

⟹ diameter of wooden pole = 20 cm = 0.2 m

⟹ radius of wooden pole = diameter/2 = 0.2/2 = 0.1 m

Now, volume of cylindrical wolden pole,

⟹ volume = π r² h

⟹ volume = 22/7 * (0.1)² * 7

⟹ volume = 22/7 * 0.01 * 7

⟹ volume = 22 * 0.01

⟹ volume = 0.22 m³

{according to given} Let, density of wooden pole be 225 kg/m³

Now, by formula of density,

⟹ density = weight/volume

⟹ 225 = weight/0.22

⟹ weight = 225 * 0.22

⟹ weight = 49.5 kg

Answer : Weight of the wooden pole is 49.5 kg.

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