Answer:
89.14 in.³
Explanation:
A semi-cylinder is half of a cylinder. A cube has equal sides. So if it is placed on top a cube, the following dimensions can be deduced:
The length of one side of the cube (s) = the diameter (d) of the semi-cylinder and also the height (h) of the semi-cylinder
Length of one side of the cube = 4 in.
Therefore,
Diameter of semi-cylinder = 4 in.
radius (r) = ½(4) = 2 in.
Height (h) of semi-cylinder = 4 in.
Let's find the volume of the composite solid
Volume of the composite solid = volume of semi-cylinder + volume of cube
= ½(π*r²*h) + (s³)
Volume of composite solid = ½(π*2²*4) + (4³)
= ½(50.27) + 64
= 89.135
≈ 89.14 in.³ (nearest hundredth)