# 8th Class Mathematics Menstruation Surface Area and Volume of Cylinder

## Surface Area and Volume of Cylinder

Category : 8th Class

### Surface Area and Volume of Cylinder

Surface Area of Cylinder

Total surface area of cylinder = curve surface area + 2 (area of face)

Total surface area $=2\pi r(r+h)$

Curve surface area $=2\pi rh$

Volume of Cylinder

Volume of cylinder $=\pi {{r}^{2}}h$

Where r is the radius of cylinder and h is the height of cylinder.

Surface Area of Cone

A cone is a solid with a circular base. It has a curved surface which tapers (i.e. decreases in size) towards the vertex along the top.

The height of the cone is the perpendicular distance from the base to the vertex.

Now, $\frac{Area\,of\,\sec tor\,ABC}{Area\,of\,circle\,with\,centre\,at\,C}=$ $\frac{Arc\,length\,AB\,of\sec tor\,ABC}{Circumference\,of\,circle\,with\,centre\,at\,C}$

Area of sector ABC $=\frac{r}{l}\times \pi {{l}^{2}}=\pi rl$.

The curved surface area of a cone = The area of sector ABC.

$\therefore$ The curved surface area of a cone$=\pi rl$

Total surface area of the cone = Area of the base + Curved surface area

$\therefore$ $TSA=\pi {{r}^{2}}+\pi rl$

or, $TSA=\pi r(r+l)$.

The volume of the cone is given by,

$V=\frac{1}{3}\pi {{r}^{2}}h$

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