We must first assume that the base of the cone and the cylinder hvae tha same base shape and size.
The volumen of a cone is equal to one third of the volumen of the cylinder, whose base and height are equal those of the cone:
Therefore:
![V_{\text{cone}}=(1)/(3)V_(cylinder)](https://img.qammunity.org/2023/formulas/mathematics/college/81pb8q9781xskgsed60rh3zppflhfmh48f.png)
replacing:
![\begin{gathered} 5=(1)/(3)V_(cylinder) \\ V_(cylinder)=5\cdot3 \\ V_(cylinder)=15 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zsypygb8nokq3tpugxmcjw3motzlqhplas.png)
The answer is 15 in^3