Respuesta :

ANSWER

B.

[tex]112\pi \: {units}^{3} [/tex]

EXPLANATION

The volume of a cone is calculated using the formula:

[tex]Volume = \frac{1}{3} \pi {r}^{2}h[/tex]

where r=4 units is the base radius of the cone.

and h=21 units is the vertical height of the cone.

We plug in the values to get;

[tex]Volume = \frac{1}{3} \times \pi \times {4}^{2} \times 21[/tex]

[tex]Volume = 112\pi \: {units}^{3} [/tex]

Answer:

The correct answer is option B.  112π units ³

Step-by-step explanation:

Formula

Volume of cone = (πr²h)/3

Where r - Radius of cone and

h - Height of cone

To find the volume of cone

Here radius r = 4 units

Height h = 21 units

Volume = (πr²h)/3

= (π * 4² * 21)/3

= 112π units ²

Therefore the correct answer is option B.  112π units ³