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  • 30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

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Answer : 55440\; cm^{3}

It is given that 30 circular plates are placed one above the other to form a cylindrical solid.

So we can see that the height of this cylindrical solid = total thickness of 30 circular plates placed one over the other

Given, thickness of one circular plate = 3 cm

Thickness of 30 circular plates =30 \times 3=90\; cm

Now, radius of circular plate, r = 14 cm

We know that

Volume of the cylinder so formed will be equal to \pi r^{2}h

Where r is its radius and h is the height. So, putting the above calculated values:

Volume of the cylinder =\frac{22}{7}\times (14)^{2}\times 90

                                     =\frac{22}{7}\times 14\times 14 \times 90

                                     =55440\; cm^{3}

Hence, the volume of the cylindrical solid is 55440\; cm^{3}

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infoexpert23

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