Solved Examples on Volume of Cone
Let solve some questions on the Volume of Cone formulas.
Example 1. Find the volume of a cone for a radius of 7 cm and height of 14 cm.
Solution:
We have,
- r = 7
- h = 14
Volume of Cone = 1/3 πr2h
V = (1/3) (22/7) (7) (7) (14)
V = (1/3) (7) (7) (2)
V = 32.66 cm3
Example 2. Find the volume of a cone for a radius of 5 cm and height of 9 cm.
Solution:
We have,
- r = 5
- h = 9
Volume of Cone = 1/3 πr2h
V = (1/3) (3.14) (5) (5) (9)
V = (3.14) (5) (5) (3)
V = 235.49 cm3
Example 3. Find the volume of a cone for a radius of 7 cm and height of 12 cm.
Solution:
We have,
- r = 7
- h = 12
Volume of Cone = 1/3 πr2h
V = (1/3) (22/7) (7) (7) (12)
V = (22) (7) (4)
V = 616 cm3
Example 4. Find the volume of a cone for a radius of 8 cm and height of 15 cm.
Solution:
We have,
- r = 8
- h = 15
Volume of Cone = 1/3 πr2h
V = (1/3) (22/7) (8) (8) (15)
V = (1/3) (22/7) (8) (8) (5)
V = 335.02 cm3
Volume of Cone: Formula, Derivation and Examples
Volume of cone can be defined as the space occupied by the cone. As we know, cone is a three-dimensional geometric shape that has a circular base and a single apex (vertex).
Let’s learn about Volume of Cone in detail, including its Formula, Examples and Frustum of Cone.