unit 2 - lesson 9 - 8th grade
3. find volume in the given cone
|11
_6
vertically 11 inches up and horizontally 6 inches to the right
as with all cones, v = 1/3 πr^2 h
so plug and chug
To find the volume of a cone, you can use the formula: V = (1/3) * π * r² * h
Where:
V represents the volume,
π is a mathematical constant (approximately equal to 3.14159),
r is the radius of the base of the cone, and
h is the height of the cone.
In the given cone, the base has a radius of 6 units and the height is 11 units.
To find the volume, substitute the values into the formula:
V = (1/3) * 3.14159 * 6² * 11
First, calculate 6² (6 squared) which is equal to 36:
V = (1/3) * 3.14159 * 36 * 11
Next, multiply 3.14159, 36, and 11 together:
V ≈ (1/3) * 3.14159 * 396
Then, calculate (1/3) * 3.14159 which is equal to approximately 1.0472:
V ≈ 1.0472 * 396
Finally, multiply 1.0472 by 396:
V ≈ 414.69
Therefore, the volume of the given cone is approximately 414.69 cubic units.