Answer:
The volume of the capsule is: 339.12 [tex]mm^3[/tex]
Step-by-step explanation:
Notice that the total capsule is made by adding the volume of the cylinder central part, plus the volume of two half spheres at the ends (which makes for the addition of the volume of a full sphere of the same radius as the cylinder).
So let's first calculate the volume of the cylinder that has diameter 6 mm (so a radius of 3 mm), and height 8 mm:
Volume of the cylinder = area of the base (a circle of radius 3 mm in our case) times the height (8 mm in our case) :
[tex]V_c=\pi \,r^2\,*\,h\\V_c=\pi \,(3\,mm)^2\,(8\,mm)\\V_c=226.08\,mm^3[/tex]
Now for the volume of a full sphere of radius 3 mm, we use the formula for the sphere's volume:
[tex]V_s=\frac{4}{3} \,\pi \,r^3\\V_s=\frac{4}{3} \,\pi \,(3\,mm)^3\\\\V_s=113.04\,mm^3[/tex]
Therefore, the total volume of the capsule is the addition of these two volumes:
Volume of the capsule = (226.08 + 113.04) [tex]mm^3[/tex] 339.12 [tex]mm^3[/tex]
Answer:
339.12 cubic millimeters
Step-by-step explanation:
I just took test on edge2020
