Find the volume of a cone with a base radius of 3 cm and a height of 11 cm.Use the value 3.14 for , and do not do any rounding.Be sure to include the correct unit in your answer.

Find the volume of a cone with a base radius of 3 cm and a height of 11 cmUse the value 314 for and do not do any roundingBe sure to include the correct unit in class=

Respuesta :

Given:

a.) A cone with a base radius of 3 cm and a height of 11 cm.

For us to be able to determine the volume of the cone, we will be using the following formula:

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

Where,

r = base radius

h = height

π = 3.14

We get,

[tex]\text{ Volume = }\frac{1}{3}\pi r^2h[/tex][tex]\text{= }\frac{1}{3}(3.14)(3)^2(11)[/tex][tex]\text{= }\frac{1}{3}(310.86)[/tex][tex]\text{=}\frac{310.86}{3}[/tex][tex]\text{ Volume = }103.62cm^3[/tex]

Therefore, the volume of the cone is 103.62 cm³