The capsule describe consists of 2 hemispheres (same) and 1 cylinder. We need to sum up the volume of the cylinder and the 2 same hemispheres.
We are given the radius of the cylinder as 3 and the height as 6. The formula for volume of cylinder is
. Plugging in 3 for r and 6 for h gives us,
.
We are given the radius is 3 for the hemisphere. The formula for volume of a hemisphere is half of the volume of a sphere. The formula for hemisphere is shown below.
. Plugging in 3 for r gives us,


Now, since we have 2 same hemispheres, we multiply this answer by 2 to get total volume of the 2 hemispheres.
.
- Total volume of the capsule:

In decimal, taking 3.14 as
, it is

Rounding to the nearest whole number gives us 283 millimeters squared.
ANSWER: Volume =
and
