Answer :

Answer:

V=8,616.16

Step-by-step explanation:

to find volume use the equation;

[π•r (radius)squared• height]

which could also be;

[Base•Height]

so you would take 3.14•196•14

(the 196 is from 14•14 btw)

2872 cubic mm

===================

To calculate the volume of a cone, we use the formula:

  • [tex]V= \( \cfrac{1}{3} \pi r^2 h \)[/tex]

where V represents volume, r is the radius of the base of the cone, and h is the height of the cone.

In this case, both the height and the radius of the cone are 14 millimeters. Plugging in the values into the formula, we get:

  • [tex]V = \( \cfrac{1}{3} \pi \times 14^2 \times 14 \)[/tex]
  • [tex]V = \( \cfrac{1}{3} \pi \times 2744 \)[/tex]
  • [tex]V = \( 914.66 \pi \)[/tex]
  • [tex]V=2872[/tex]

Therefore, the volume is approximately 2872 cubic millimeters.