a wooden cylindrical pole is 7m high and it's base radius is 10cm. find its weight if wood weights 225 kg per cubic metre.
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We have a wooden cylindrical pole which has a height of 7 meters and a base radius of 10 centimeters. For solving this question, the first thing we will need to do is make the units of both the values equal. In this case, it would be better to change 10 cm to m because we will have to use cubic metre at last.
So the final data is,
h = 7 m
r = 10 cm = 0.1 m
Now, we are asked the weight of the pole if the wood weighs 225 kg per m³.
For solving this, we will have to calculate the volume of the pole.
V(pole) = πr²h
V = 3.14 × 0.1 × 0.1 × 7
V = 0.2198 m³ or 0.22 m³
Remember that we need to find the weight of the pole and not just the volume. So,
Weight of the wood = Volume in m³ × 225
Weight = 0.22 × 225
Weight = 49.5 kg
Thus, the weight of the given cylindrical pole is 49.5 kg.
We have a wooden cylindrical pole which has a height of 7 meters and a base radius of 10 centimeters. For solving this question, the first thing we will need to do is make the units of both the values equal. In this case, it would be better to change 10 cm to m because we will have to use cubic metre at last.
So the final data is,
h = 7 m
r = 10 cm = 0.1 m
Now, we are asked the weight of the pole if the wood weighs 225 kg per m³.
For solving this, we will have to calculate the volume of the pole.
V(pole) = πr²h
V = 3.14 × 0.1 × 0.1 × 7
V = 0.2198 m³ or 0.22 m³
Remember that we need to find the weight of the pole and not just the volume. So,
Weight of the wood = Volume in m³ × 225
Weight = 0.22 × 225
Weight = 49.5 kg
Thus, the weight of the given cylindrical pole is 49.5 kg.
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