Question

Please help

Find the volume for each individual shape


Find the composite volume of the original figure.

Answer 1

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

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
`(2)/(3)\pi r^(3) = (2)/(3) * (22)/(7) * 2^(3) = 16.76` mm³.

Now, the volume of the cylinder will be, πr²h =
`(22)/(7)* (2)^(2) * (10 - 4) = 75.43` mm³

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