Answer:
[tex]V = 37.7cm^3[/tex]
Step-by-step explanation:
The formula for the volume of a cone is:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Given:
- Radius = 2cm
- Height = 9cm
Let's plug these into the equation:
[tex]V = \frac{1}{3} \pi (2)^2(9)[/tex]
Now solve:
[tex]V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3} \pi \\V = 12\pi \\V = 37.7cm^3[/tex]
Therefore, the volume of the cone is 37.7cm^3.
I hope this helps!!
- Kay :)