Respuesta :

Answer:

92.11 cm³

Step-by-step explanation:

The figure below;

  • Has two hemispheres, and
  • An open cylinder
  • The radius of the hemisphere is 2 mm
  • The height of the cylinder is 6 mm (10 mm - 4 mm)

We are required to determine the volume of the figure;

The volume of a hemisphere is given by;

Volume hemisphere = 2/3πr³

Taking π to be 3.14

The Volume  of the two hemisphere;

             = 2/3 × 3.14 × 2³

             = 16.75 cm³

Volume of the cylinder;

Volume = πr²h

             = 3.14 × 2² × 6

             = 75.36 cm³

Thus, volume of the figure;

      = 16.75 cm³ + 75.36 cm³

      = 92.11 cm³

Hence, the volume of the figure is 92.11 cm³