Find the weight of a solid cylinder of radius 10.5 cm and height 60 cm if the material of the cylinder weighs 5 g per cm2.

Question:

Find the weight of a solid cylinder of radius 10.5 cm and height 60 cm if the material of the cylinder weighs 5 g per cm2.

Solution:

Here, = 10.5 cm; h = 60 cm

Now, volume of the cylinder $=\pi r^{2} h$

$=\frac{22}{7} \times(10.5)^{2} \times 60 \mathrm{~cm}^{3}$

$=22 \times 10.5 \times 1.5 \times 60 \mathrm{~cm}^{3}=20790 \mathrm{~cm}^{3}$

$\therefore$ Weight of cylinder = volume of cylinder $\times$ weight of cylinder per gram

$=20790 \times 5 \mathrm{~g}$

$=103950 \mathrm{~g}$

$=103.95 \mathrm{~kg}$

 

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