Question

Please help.

Answer 1

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 $\dfrac{\sqrt{3}}{4}a^2$, which in this case is $\dfrac{\sqrt{3}}{4}\cdot 18^2\approx 140.3$. Multiplying this by the height of 35, you get about 4910.4 cubic yards. For the cylinder, the formula for the volume is $V=\pi r^2 h$. Plugging in your known values, you get:

$282.7=\pi \cdot 5^2 \cdot h$

$h\approx 3.6$ inches

Hope this helps!