Question

Please help

Answer 1

Answer:

The total volume of the composite figure will be 108.95 mm³.

Step-by-step explanation:

See the attached diagram.

The given figure consists of two semi-spheres at both ends of a cylinder.

The radius of each semi-sphere is 2 mm.

So, their volume will be $\frac{2}{3}\pi r^{3} = \frac{2}{3} \times \frac{22}{7} \times 2^{3} = 16.76$ mm³.

Now, the volume of the cylinder will be, πr²h = $\frac{22}{7}\times (2)^{2} \times (10 - 4) = 75.43$ mm³

Therefore, the total volume of the composite figure will be (16.76 × 2 + 75.43) = 108.95 mm³. (Answer)