Answer:
1131 Cubic inches
Step-by-step explanation:
The Volume of the solid is the combination of volume of a cuboid and half of a cylinder .
Volume = Volume of Cuboid + Half of Volume of cylinder
The dimensions of the Cuboid are
l = 11 inches
b = 6 inches
h= 12 inches
The Dimensions of the Cylinder are
r=(17-11) = 6 inches
h = 6 inches
Volume of Cuboid = lbh = 11 x 6 x 12 = 792 cubic inches
Volume of cylinder = [tex]\pi r^2 \times h[/tex]
=[tex]\pi \times 6^2 \times 6[/tex]
= [tex]3.14 \times 36 \times 6[/tex]
= 678.24 cubic inches
Half of Volume of cylinder = 339.12 cubic inches
Hence Total Volume = 792 + 339.12
= 1131.12
≈ 1131 Cubic Inches
