The amount of vitamin needed is the amount required to fill the 282.6 cubic millimeter of capsule's volume.
Step-by-step explanation:
The capsule is in the shape of a cylinder.
Step 1 :
Radius, r = 3 millimeter
Length or height, h = 10 millimeter
The amount of vitamin mix = Volume of the capsule (cylinder).
Step 2 :
Volume of the cylinder = πr^2h
= 3.14 [tex]\times[/tex] 3^2 [tex]\times[/tex] 10
= 3.14 [tex]\times[/tex] 9 [tex]\times[/tex] 10
= 282.6 cubic millimeter
∴ The amount of vitamin needed = amount required to fill the 282.6 cubic millimeter of capsule's volume.