Given slant height, height and radius of a frustum of a cone, we have to calculate the volume and surface area of the frustum of a cone.
Frustum of cone
In geometry, a frustum is the portion of a solid (normally a cone or pyramid) that lies between one or two parallel planes cutting it.
If we cut a right circular cone by a plane parallel to its base, the portion of the solid between this plane and the base is known as the frustum of a cone.
Given below is a right circular cone.
The right circular cone after being cut by a plane parallel to its base results in a frustum as follows:
which has a circular base at bottom of radius R
circular upper portion with radius r
and slant height l
- Volume of frustum of cone:
Volume (V) = 1/3 * pi * h(r2 + R2 + r*R) where r = radius of smaller circle R = radius of bigger circle (or radius of base of the cone) h = height of the frustum
Curved Surface Area (CSA) = pi * l(R + r) where r = radius of smaller circle R = radius of bigger circle l = slant height of the frustum
Total Surface Area (TSA) = pi * l(R + r) + pi(R2 + r2) where r = radius of smaller circle R = radius of bigger circle l = slant height of frustum
Input : Radius of smaller circle = 3 Radius of bigger circle = 8 Height of frustum = 12 Slant height of frustum = 13 Output : Volume Of Frustum of Cone : 1218.937 Curved Surface Area Of Frustum of Cone : 449.24738 Total Surface Area Of Frustum of Cone : 678.58344 Input : Radius of smaller circle = 7 Radius of bigger circle = 10 Height of frustum = 4 Slant height of frustum = 5 Output : Volume Of Frustum of Cone : 917.34436 Curved Surface Area Of Frustum of Cone : 267.03516 Total Surface Area Of Frustum of Cone : 735.1321
Volume Of Frustum of Cone : 1218.937 Curved Surface Area Of Frustum of Cone : 449.24738 Total Surface Area Of Frustum of Cone : 678.58344
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.
- Calculate volume and surface area of a cone
- Calculate Volume, Curved Surface Area and Total Surface Area Of Cylinder
- Program for Volume and Surface Area of Cuboid
- Program for Volume and Surface Area of Cube
- Program to calculate Volume and Surface area of Hemisphere
- Program to find volume and surface area of pentagonal prism
- Program to find Surface Area and Volume of Octagonal Prism
- Surface Area and Volume of Hexagonal Prism
- Calculate volume and surface area of Torus
- Calculate Volume and Surface area Of Sphere
- Program for Surface Area of Octahedron
- Program for Surface area of Dodecahedron
- Program to find the surface area of the square pyramid
- Program to calculate the Surface Area of a Triangular Prism
- Program to calculate area and volume of a Tetrahedron
- Program to find the Area and Volume of Icosahedron
- Minimum volume of cone that can be circumscribed about a sphere of radius R
- Find the Surface area of a 3D figure
- Find maximum volume of a cuboid from the given perimeter and area
- Program for volume of Pyramid
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.
Improved By : vt_m