Answer :
The volume of model is 452.16 cubic inches
Solution:
Given that,
A model of a volcano has a height of 12 in., and a diameter of 12 in.
We know that, volcano is of shape cone,
The volume of cone is given as:
[tex]V = \frac{1}{3} \times \pi r^2 h[/tex]
Where,
r is the radius
h is the height
From given,
h = 12 inches
Diameter = 12 inches
[tex]Radius = \frac{diameter}{2}\\\\Radius = \frac{12}{2} = 6[/tex]
Substituting the values we get,
[tex]V = \frac{1}{3} \times 3.14 \times 6^2 \times 12\\\\V = 3.14 \times 36 \times 4\\\\V = 452.16[/tex]
Thus volume of model is 452.16 cubic inches
