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

Question

asked Dec 2, 2023 108k views

1 Answer

Hun · Answer 1 · 2023-12-09T02:20:35+0000

ANSWER

$V=7179.09\operatorname{mm}$

Step-by-step 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:

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

where r =radius; h = height

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

$\begin{gathered} D=2r \\ r=(D)/(2) \\ r=(38)/(2) \\ r=19\operatorname{mm} \end{gathered}$

Therefore, the volume of the cone is:

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