25 circular plates, each of radius $10.5cm$ and thickness $1.6cm$, are placed one above the other to form a solid circular cylinder. Find the curved surface area and the volume of the cylinder so formed.
25 circular plates, each of radius $10.5cm$ and thickness $1.6cm$, are placed one above the other to form a solid circular cylinder. Find the curved surface area and the volume of the cylinder so formed.

Given,

250 circular plates each with radius $10.5cm$ and thickness of $1.6cm$.

As the plates are placed one above the other, the total height becomes $=1.6\times 25=40cm$

As we know that,

Curved surface area of a cylinder $=2\pi rh$

$=2\pi \times 10.5\times 40=2460c{{m}^{2}}$

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

$\pi \times {{10.5}^{2}}\times 40=13860c{{m}^{2}}$

Hence, the curved surface area of the cylinder is $2640c{{m}^{2}}$ and the volume of the cylinder is $13860c{{m}^{2}}$