Question

The total surface area of a solid cylinder is 616 $c{m}^2.$

If the ratio between its curved surface area and total surface are is 1 : 2; find the volume of the cylinder.

Answer 1

Now, the total surface area of a solid cylinder $=616c{m}^2$

As per question,

$\frac{\text{[}curvedsurfacearea]}{\left[totalsurfacearea\right]}=\frac{1}{2}$

Now, the curved surface area$=\frac{616}{2}=308$

$2\pi r^2+2\pi rh=616$

$2\pi rh=308$

$2\pi r^2=308$

$r=7$

volume of the cylinder

$V=\pi r^{2}h$

$V=\pi rh\times r$

$V=308/2\times 7$

$V=1078$