Let's find the volume of each figure.
The volume of the cylinder is given by:
[tex]Vc=\pi\cdot r^2_{}\cdot h[/tex]
Where:
r = radius = 4cm
h = height = 6cm
so:
[tex]Vc=\pi\cdot(4^2)\cdot(6)=96\pi\approx301.6cm^2[/tex]
The volume of the cone is given by:
[tex]V_{cn}=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]
where:
r = radius = 6cm
h = height = 8cm
so:
[tex]\begin{gathered} V_{cn}=\frac{1}{3}\pi\cdot(6^2)\cdot(8) \\ V_{cn}=96\pi\approx301.6cm^2 \end{gathered}[/tex]
Since:
[tex]V_c=V_{cn}_{}[/tex]
The cylinder and the cone have equal volume.
