Question

A cork in the shape of a cylinder has a radius of 2 cm, a height of 5 cm, and weighs 2.5 grams. Find the volume and density of the cork.

base area: _____
volume of cork : ______
the corks density ( # of grams over cubic centimeter) =_________

Answer 1

For this case we have that by definition, the density is given by:

`d = \frac {M} {V}`

Where:

M: It is the mass

V: It is the volume

We find the volume of the cylinder:

`V = \pi * r ^ 2 * h`

Where:

r: It is the radius of the cylinder

h: It is the height

`V = \pi * 2 ^ 2 * 5\\V = \pi * 4 * 5\\V = \pi * 20\\V = 62.8 \ cm ^ 3`

So the density is:

`d = \frac {2.5} {62.8}\\d = 0.04`

Answer:

`d = 0.04 \frac {g} {cm ^ 3}\\Base area: 4 \pi\\Volume: 62.8 \ cm ^ 3`