Question

A wooden cylinder pole is 7m high and its base is 10cm find its weight if the wood weighs225kg per cubic metre

Answer 1

Answer:

Given :-

• A wooden cylinder pole is 7 m high and its base radius is 10 cm.

Find Out :-

• What is the weight of a wooden cylinder pole if the wood weight is 225 kg/m³.

Formula Used :-

$\clubsuit$ Volume of Cylinder Formula :

$\longrightarrow \sf\boxed{\bold{\pink{Volume_{(Cylinder)} =\: {\pi}r^2h}}}$

where,

• π = Pie or 22/7
• r = Radius
• h = Height

Solution :-

First, we have to convert the radius :

$\implies \sf Radius =\: 10\: cm$

$\implies \sf Radius =\: \dfrac{1\cancel{0}}{10\cancel{0}}\: m$

$\implies \sf Radius =\: \dfrac{1}{10}\: m$

$\implies \sf\bold{\purple{Radius =\: 0.1\: m}}$

Hence, the radius is 0.1 m .

Now, we have to find the volume of wooden cylinder pole :

Given :

• π (Pie) = 22/7
• r (Radius) = 0.1 m
• h (Height) = 7 m

According to the question by using the formula we get,

$\leadsto \bf Volume_{(Wooden\: Cylinder\: Pole)} =\: {\pi}r^2h$

$\leadsto \sf Volume_{(Wooden\: Cylinder\: Pole)} =\: \dfrac{22}{7} \times (0.1)^2 \times 7$

$\leadsto \sf Volume_{(Wooden\: Cylinder\: Pole)} =\: \dfrac{22}{\cancel{7}} \times 0.1 \times 0.1 \times {\cancel{7}}$

$\leadsto \sf Volume_{(Wooden\: Cylinder\: Pole)} =\: 22 \times 0.01$

$\leadsto \sf\bold{\green{Volume_{(Wooden\: Cylinder\: Pole)} =\: 0.22\: m^3}}$

Hence, the volume of a wooden cylinder pole is 0.22 m³.

Now, we have to find the weight of a wooden cylinder pole :

$\longrightarrow \footnotesize \bf Weight_{(Wooden\: Cylinder\: Pole)} =\: Weight\: Of\: Wood \times Volume$

$\longrightarrow \sf Weight_{(Wooden\: Cylinder\: Pole)} =\: 225 \times 0.22$

$\longrightarrow \sf\bold{\red{Weight_{(Wooden\: Cylinder\: Pole)} =\: 49.5\: kg}}$

$\therefore$ The weight of a wooden cylinder pole is 49.5 kg .

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