Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = [tex]\frac{2}{3}\pi r^{3} = (\frac{2}{3})\times (\frac{22}{7}) \times (4^{3}) = 134.1[/tex] cubic units. (Answer)
