Volume of cones practice
Lesson 6
To practice finding the volume of cones, you can try the following examples:
Example 1:
A cone has a height of 8 cm and a radius of 5 cm. Find its volume.
Solution:
The formula to find the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Plugging in the given values:
V = 1/3 * 3.14 * 5^2 * 8
V = 1/3 * 3.14 * 25 * 8
V = 1/3 * 3.14 * 200
V = 209.33 cm^3
Therefore, the volume of the cone is 209.33 cm^3.
Example 2:
A cone has a height of 15 in and a diameter of 10 in. Find its volume.
Solution:
First, we need to find the radius by dividing the diameter by 2.
Radius = 10 in / 2 = 5 in
The volume of the cone can be found using the formula V = 1/3 * π * r^2 * h.
Plugging in the given values:
V = 1/3 * 3.14 * 5^2 * 15
V = 1/3 * 3.14 * 25 * 15
V = 1/3 * 3.14 * 375
V = 392.5 in^3
Therefore, the volume of the cone is 392.5 in^3.
Try solving a few more examples using the same formula to further practice finding the volume of cones.