Question

What is the volume of this cone? Use 3.14 and round your answer to the nearest hundredth. 38 mm cubic millimeters

Answer 1

ANSWER

$V=7179.09\operatorname{mm}$

EXPLANATION

We are given the height of the cone as 19 mm and the diameter of its base as 38 mm.

The volume of a cone is given as:

$V=\frac{1}{3}\pi\cdot r^2h$

where r =radius; h = height

The diameter of a circle (the base of a cone) is twice the radius. Therefore:

$\begin{gathered} D=2r \\ r=\frac{D}{2} \\ r=\frac{38}{2} \\ r=19\operatorname{mm} \end{gathered}$

Therefore, the volume of the cone is:

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot19^2\cdot19 \\ V=7179.09\operatorname{mm}^3 \end{gathered}$