A cone of height 15 cm and radius 4 cm is filled with ice cream…

Step 1. The cone. $\dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\pi \times 16\ \text{cm}^2 \times 15\ \text{cm} = 80\pi\ \text{cm}^3$.

Step 2. The hemisphere. $\dfrac{2}{3}\pi r^3 = \dfrac{2}{3}\pi \times 64\ \text{cm}^3 = \dfrac{128\pi}{3}\ \text{cm}^3$.

Step 3. The total. $80\pi + \dfrac{128\pi}{3} = \dfrac{368\pi}{3}\ \text{cm}^3$, which is $385.4\ \text{cm}^3$.