Answer: [tex]51\pi\ ft^3[/tex]
Step-by-step explanation:
From the given figure ,
Dimensions of cone : Height = 5 ft
Radius = 3 ft
The volume of cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2\ h[/tex], where r is the radius and h is height of the cone .
[tex]\Rightarrow V=\dfrac{1}{3}\pi (3)^2(5)=15\pi\ ft^3[/tex]
Dimensions of cylinder : Height = 4 ft
Radius = 3 ft
The volume of cylinder is given by :
[tex]V=\pi r^2\ h[/tex], where r is the radius and h is height of the cone .[tex]\Rightarrow V=\pi (3)^2(4)=36\pi\ ft^3[/tex]
Now, the total volume of the figure: [tex]15\pi+36\pi=51\pi\ ft^3[/tex]
