1 Answer

Moolsbytheway · Answer 1 · 2023-02-11T21:57:45+0000

Since the diameter of the cone is 28 mm, then the radius is:

$r=(d)/(2)=(28)/(2)=14\operatorname{mm}$

then, we have the following equation to find the volume of the cone:

$V=(1)/(3)\pi\cdot r^2\cdot h$

in this case, we have the following information:

$\begin{gathered} \pi=3.14 \\ r=14 \\ h=20 \end{gathered}$

substituting these values on the equation, we have:

$\begin{gathered} V=(1)/(3)\cdot(3.14)(14)^2(20)=(1)/(3)\cdot(12308.8)=4102.93 \\ V=4102.93\operatorname{mm} \end{gathered}$

therefore, the volume of the cone is 4102.93mm^3

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