5. Sebuah kerucut berada di dalam sebuah tabung seperti gambar di samping. Alas dan titik puncak kerucut tepat menyinggung alas dan tutup tabung tersebut. Tentukan volume tabung di luar kerucut! Gambar 4.13 Tenda

To determine the volume of the cylinder that lies outside the cone, we'll follow these steps: 1. **Define the Dimensions:** - Let \( r \) be the radius of the base of both the cylinder and the cone. - Let \( h \) be the height of both the cylinder and the cone. 2. **Calculate the Volume of the Cylinder:** The volume \( V_{\text{cylinder}} \) of a cylinder is given by the formula: \[ V_{\text{cylinder}} = \pi r^2 h \] 3. **Calculate the Volume of the Cone:** The volume \( V_{\text{cone}} \) of a cone is given by the formula: \[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \] 4. **Determine the Volume Outside the Cone:** The volume of the cylinder that is outside the cone is the difference between the volume of the cylinder and the volume of the cone: \[ V_{\text{outside}} = V_{\text{cylinder}} - V_{\text{cone}} = \pi r^2 h - \frac{1}{3} \pi r^2 h = \frac{2}{3} \pi r^2 h \] 5. **Final Answer:** The volume of the cylinder outside the cone is: \[ V_{\text{outside}} = \frac{2}{3} \pi r^2 h \] **Summary:** \[ \boxed{V_{\text{outside}} = \dfrac{2}{3} \pi r^2 h} \] This formula represents the volume of the space within the cylinder that is not occupied by the cone.