What is the of surface total surface area of frustum

Math

Question

What is the of surface total surface area of frustum

Total Surface Area Defined. Surface area means all the area that you can see in two dimensions - this means the length and width. ... Total surface area in that case means adding up the areas of all the surfaces. For a cube, that means adding up the surface area of all six sides.

FRUSTUM OF A CONE :-

When a cone is cut by a plane parallel to the base of the cone then the portion between the plane and the base is called the frustum of the cone.

FORMULAE :-

Let R and r be the radii of the base and the top of the frustum of a cone.

Let h be its height and l be its slant height.

Then,

Volume of the frustum of the cone =

$$\implies \: \frac{\pi \times h}{3} ( {R}^{2} + {r}^{2} + Rr)$$

Lateral Surface Area of the frustum of the cone=

$$\implies \: \pi \times l(R+ r)$$

Total Surface Area of the frustum of the Cone =

$$\implies \: \pi({R}^{2} + {r}^{2} + l(R+ r)$$

where,

• R = Radius of the top of the frustum.

• r = radius of the bottom of the frustum

• h = height of the frustum

• l = Slant height of the frustum of the cone.