a wooden pole is 7m high and 20 cm in diameter . find its weight if the wood weights 225 kg per m²
Answers
{some correction in question}
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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