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