The base of a cone has a radius of 4 millimeters and the height of the cone is 24 millimeters. what is the volume of the cone?
question 6 options:

a. 32π mm3

b. 96π mm3

c. 128π mm3

d. 384π mm3

The volume of the cone is 128π mm³ ⇒ answer (C)

Step-by-step explanation:

* Lets study the cone

- Its base is a circle

- Its height the perpendicular distance from its vertex to

 the center of the base

- The length of its slant height = √(h² + r²)

- The volume of the con is 1/3 the volume of the cylinder

∵ The volume of the cylinder = πr²h

∴ The volume of the cone = (1/3) πr²h

* In our problem:

- r = 4 mm

- h = 24 mm

∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³

* The volume of the cone is 128π mm³

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are