Answer:
[tex]548.496 \text{ cubic feet}[/tex]
Step-by-step explanation:
This figure is composed of two half-cylinders each of radius 6ft and height 5ft and a cuboid of dimensions 12 x 6 x 5.
Which simply means, the composite figure is made up of a cylinder (h = 5ft, r=6ft) and a cuboid (l=12ft, b = 6ft and h = 5ft).
So,
Volume of the composite figure = Volume of cylinder + volume of cuboid
[tex]=\dfrac{1}{3}\pi r^2h+lbh\\\\=\dfrac{1}{3}\pi(6)^2(5)+12(6)(5)\\\\[/tex]
[tex]\approx 548.496\text{ cubic feet}[/tex]
