What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?

Respuesta :

kkfoug

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 :)