A company wants to determine the amount of a vitamin mix that can be enclosed in a capsule like the one shown. The capsule has a radius of 3 millimeters and a length of 10 millimeters. How much vitamin mix is needed? Show all work.

Respuesta :

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.