Q:

A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the approximate volume of the model? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. in³

Accepted Solution

A:
The volume of model is 452.16 cubic inchesSolution: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 radiush is the heightFrom given,h = 12 inchesDiameter = 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