If we subtract the volume of the cone from the volume of the pyramid, we'll calculate the remaining volume of the weird-looking solid that's left. To do that, we'll start with pyramid. *V*_{p} = 2560 yd^{3}
That's the volume of the entire pyramid. To de-cone it we'll need to calculate the cone's volume, too. The side of the pyramid's edge is the diameter of the circle, but we're using the radius, which is half of the edge. *V*_{c} ≈ 2010.6 yd^{3}
The final frontier. Subtract the volume of the cone from the volume of the pyramid. *V* = *V*_{p} – *V*_{c}
*V* = 2560 yd^{3} – 2010.6 yd^{3}
*V* = 549.4 yd^{3}
We're not sure why that's useful, but there you go. |