Volume of a coneFind the volume of a cone with a height of 9 cm and a base radius of 4 cm.Use the value 3.14 for me, and do not do any rounding.Be sure to include the correct unit in your answer.

Volume of a coneFind the volume of a cone with a height of 9 cm and a base radius of 4 cmUse the value 314 for me and do not do any roundingBe sure to include t class=

Respuesta :

Answer:

150.72cm³

Explanations:

The formula for calculating the volume of a cone is expressed according to the formula:

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

where:

• r is the ,radius ,of the cone

,

• h is the, height ,of the cone

Given the following parameters:

[tex]\begin{gathered} r=4\operatorname{cm} \\ h=9\operatorname{cm} \\ \pi=3.14 \end{gathered}[/tex]

Substitute the given parameters into the formula to have:

[tex]\begin{gathered} V=\frac{1}{3}(3.14)\times4^2\times9 \\ V=\frac{1}{3}\times3.14\times16\times9 \\ V=\frac{1}{3}\times452.16 \\ V=150.72\operatorname{cm}^3 \end{gathered}[/tex]

Hence the volume of the cone is 150.72cm³