Answer:
The volume is 164cm^3
Step-by-step explanation:
Given
[tex]h = 7[/tex] --- height
[tex]a = 3[/tex] --- base length
[tex]r = 2.6[/tex]
Required
The volume
The volume (V) is calculated as:
[tex]V = \frac{3\sqrt 3}{2}a^2h[/tex]
This gives:
[tex]V = \frac{3\sqrt 3}{2} * 3^2 * 7[/tex]
[tex]V = \frac{3\sqrt 3}{2} * 9 * 7[/tex]
[tex]V = \frac{3\sqrt 3}{2} * 63[/tex]
[tex]V = \frac{3*1.7321}{2} * 63[/tex]
Using a calculator, we have:
[tex]V = 163.68[/tex]
Approximate
[tex]V = 164cm^3[/tex]
