Answer:
7. 4910.4
8. 3.6
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. Since it is an equilateral triangle, the formula for its area is simply [tex]\dfrac{\sqrt{3}}{4}a^2[/tex], which in this case is [tex]\dfrac{\sqrt{3}}{4}\cdot 18^2\approx 140.3[/tex]. Multiplying this by the height of 35, you get about 4910.4 cubic yards. For the cylinder, the formula for the volume is [tex]V=\pi r^2 h[/tex]. Plugging in your known values, you get:
[tex]282.7=\pi \cdot 5^2 \cdot h[/tex]
[tex]h\approx 3.6[/tex] inches
Hope this helps!
