Option D: 416 cm³
Volume of cone = $\frac{1}{3} \times \text{Base Area} \times h = \frac{1}{3} \times 156 \times 8 = \frac{1248}{3} = 416 \text{ cm}^3$
The formula for volume of a cone is $V = \frac{1}{3} \times \pi r^2 \times h$. Since base area ($\pi r^2$) is directly given as 156 cm², substitute directly: $\frac{1}{3} \times 156 \times 8 = 416$ cm³. No need to find radius separately.