Question

A pharmacist is filling medicine capsules. The capsules are cylinders with half spheres on each end. If the length of the cylinder is 12 mm and the radius is 2 mm, how many cubic mm of medication can one capsule hold?

Answer 1

So for this, we have to find the volume of cylinder + two half spheres or one sphere.
Volume of cylinder =
$\pi \: r {}^{2} h$
= 3.14x2^2x12 cubic mm
= 150.72 cubic mm

Volume of sphere or volume of two half spheres
= 4/3 π r^3
= 4/3 x 3.14 x 2^3 cubic mm
= 33.49 cubic mm

therefore, volume medications inside the capsule is 150.72+33.49 cubic mm = 184.21 cubic mm