Respuesta :
Answer:
25 cubic inches.
Explanation:
The volume of a cylinder is calculated as:
[tex]V_{\text{Cylinder}}=B^{}\cdot h[/tex]Where B is the area of the base and h is the height of the cylinder.
Additionally, the volume of the cone can be calculated as:
[tex]V_{\text{cone}}=\frac{1}{3}(B\cdot h)[/tex]Where B is the area of the base and h is the height of the cone.
So, if the cylinder and cone have the same base and height, we can relate both volumes as:
[tex]V_{\text{cone}}=\frac{1}{3}(V_{\text{cylinder}})[/tex]Because we replace (B·h) with Vcylinder.
Now, if the cylinder has a volume of 75 cubic inches, the volume of the cone is:
[tex]\begin{gathered} V_{\text{cone}}=\frac{1}{3}(75) \\ V_{cone}=25 \end{gathered}[/tex]Therefore, the answer is 25 cubic inches.
