# (i) 30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find : the total surface area(ii) 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.

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

Thickness of 30 circular plates

Now, radius of circular plate, r = 14 cm

We know that

Total surface area of the cylindrical solid of formed will be equal to

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

Total surface area

Hence, the total surface area of the cylindrical solid is .

(ii)

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

Now, radius of circular plate, r = 14 cm

We know that

Volume of the cylinder so formed will be equal to

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

Volume of the cylinder

Hence, the volume of the cylindrical solid is

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