Answer:
The height of the cone is 5.09 inches
Step-by-step explanation:
Given:
The volume of the cone = 12 cubic inches
The diameter of the cone = 3 inches
To Find :
The height of the cone = ?
Solution:
We know that the volume of the cone is
Volume = [tex]\pi r^2\frac{h}{3}[/tex]
where
r is the radius of the cone
h is the height of the cone
Now substituting the given values
[tex]12 = \pi (1.5)^2 \frac{ h }{3}[/tex]
[tex]\frac{12}{\pi 2.25} = \frac{h}{3}[/tex]
[tex]h = \frac{12}{ 2.25 \pi} \times 3[/tex]
[tex]h = \frac{ 12}{7.065} \times 3[/tex]
[tex]h = 1.698 \times 3[/tex]
h = 5.09 inches
