Question

Volume of Cones Practice

1 - 235.5
2 - 65.94
3 - 615.44
4 - 65.94
5 - 565.2

Answer 1

To find the volume of a cone, you can use the formula:

V = (1/3) * π * r^2 * h

where V is 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.

Let's calculate the volume for each of the given cones:

1) Cone 1:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14159 * (5.5^2) * 9
V ≈ 235.5

2) Cone 2:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14159 * (4.2^2) * 4
V ≈ 65.94

3) Cone 3:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14159 * (7.9^2) * 11
V ≈ 615.44

4) Cone 4:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14159 * (4.2^2) * 4
V ≈ 65.94

5) Cone 5:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14159 * (6^2) * 6
V ≈ 565.2

So, the volumes of the given cones are:

1 - 235.5
2 - 65.94
3 - 615.44
4 - 65.94
5 - 565.2