The volume of this composite figure is the sum of the volume of the cylinder and the cone.
Volume of Cylinder
The formula is
[tex]V=\pi r^2h[/tex]
Where
V is the volume
r is the radius
h is the height
Given,
r = 5
h = 17.8
Substituting, we find the volume:
[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(5)^2(17.8) \\ V=1398.01 \end{gathered}[/tex]
Volume of Cone
The formula is:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where
V is the volume
r is the radius
h is the height
Given,
r = 5
h = 6.2
Substituting, we find the volume:
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\pi(5)^2(6.2) \\ V=162.32 \end{gathered}[/tex]
The total volume of the figure is:
1398.01 + 162.32 = 1560.33
