Answer:
Total volume of the figure =[tex]339.35Feet^3[/tex]
Step-by-step explanation:
The volume of the given figure can be find by adding the volume of the two half cylinders and the mid cuboid part.
Volume of the figure=Volume of the cuboid + Volume of Two half cylinders
Dimensions of the cuboid:
Length=11 feet Width=4 feet Height= 6 feet
Dimensions of the cylinder :
Radius(r)=2 feet Height(h)= 6 feet
Volume of a cuboid:
= [tex]Length*Width*Height[/tex]
[tex]= 11*4*6[/tex]
[tex]=264 feet^3[/tex]
Volume of the cylinder= [tex]\pi *r^2*h[/tex]
volume of two half cylinders= [tex]2*(\frac{1}{2}*\pi *r^2*h )[/tex]
[tex]= 3.14*(2*2)*6\\\\ = 75.35 feet^3[/tex]
Total volume of the Figure= [tex]264+75.35[/tex]
Total volume of the figure =[tex]339.35Feet^3[/tex]
