Answer:
226.08 mm³
Step-by-step explanation:
The figure below shows a capsule mad of;
- Two hemisphere and an open cylinder
To determine the amount of vitamin that can be enclosed in the capsule, we determine the volume of the capsule;
- First we determine the volume of the two hemisphere;
Volume of a hemisphere = 2/3 πr³
Therefore; Taking π to be 3.14
Then;
Volume of the hemisphere = 2/3 × 3.14 × 3³
= 56.52 mm³
But, since there are two equal hemispheres;
Then;
Volume of hemispheres = 56.52 mm³ × 2
= 113.04 mm³
- Second we determine the volume of the cylinder
Volume of the cylinder is given by;
Volume = πr²h
Height = (10 mm - (2× 3mm)
= 4 mm
Thus, taking π to be 3.14
Then;
Volume of the cylinder = 3.14 × 3² × 4
= 113.04 mm³
Thus, Volume of the capsule = 113.04 mm³ + 113.04 mm³
= 226.08 mm³
