What is the formula of frustum of cone?

What is the formula of frustum of cone?

Answer: The conical Frustum formulas in terms of r and h is as follows: Volume of a conical frustum = V = (1/3) * π * h * (r12 + r22 + (r1 * r2)).

What is the formula for circumference of a cone?

Suppose the cone has radius r, and slant height l, then the circumference of the base of the cone is 2πr. To find the area of the curved surface of a cone, we cut and open up the curved surface to form a sector with radius l, as shown below.

What is TSA of frustum?

The total surface area is given as the sum of curved surface area and the area of the base. Thus the total surface area of the frustum is: Total surface area of frustum of cone = π L ( r + r ′ ) + π r 2 + π r ′ 2.

How do you find the volume of a frustum of a right circular cone?

See the derivation of formula for the volume of any frustum.

1. For any Frustum, the volume is V=13(A1+A2+√A1A2)h. For frustum of right circular cone, A1=πR2 and A2=πr2. Thus,
2. V=13[πR2+πr2+√πR2(πr2)]h.
3. V=13[πR2+πr2+πRr]h.

What is slant height of frustum of cone?

For a frustum of cone, if h is the height, r1 is the base radius, r2 is the top radius, slant height is l. Then slant height, l2=h2+(r1−r2)2.

What is the CSA of a cone?

The formula to calculate the curved surface area of a cone is given by: Curved Surface Area (CSA) = πrl. Here, r = Radius of the circular base of the cone. l = Slant height of the cone.

How do you get the radius from the circumference of a cone?

So, to calculate the radius:

1. Square the lateral height.
2. Square the height.
3. Subtract height squared from lateral height squared.
4. Find the square root of the result from step three.
5. The result is the radius of the cone.

What is cone CSA?

The formula to calculate the curved surface area of a cone is given by: Curved Surface Area (CSA) = πrl. Here, r = Radius of the circular base of the cone.

What is a frustum of a right circular cone?

Frustum of a right circular cone is that portion of right circular cone included between the base and a section parallel to the base not passing through the vertex. The altitude of a frustum of a right circular cone is the perpendicular distance between the two bases.

How do you find the slant height?

The slant height can be calculated using the formula a^2 + b^2 = c^2. In the formula, a is the altitude, b is the distance from the center of the base to the point where the slant height segment starts, and c stands for the slant height.