Question

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.

Answer 1

The amount of vitamin needed is the amount required to fill the 282.6 cubic millimeter of capsule's volume.

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
`*` 3^2
`*` 10

= 3.14
`*` 9
`*` 10

= 282.6 cubic millimeter

∴ The amount of vitamin needed = amount required to fill the 282.6 cubic millimeter of capsule's volume.