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.

a. What is the volume of the cork?


b. What is the cork's density in grams per cubic centimeter? That is, how many grams of cork are there per cubos centimeter?

Answer 1

a). Volume = 62.86 cm³

b). Density of the cork = 0.03977 gms per cm³

Explanation:

A cork in the shape of a cylinder has the radius 'r' = 2 cm

and height of the cork = 5 cm

a). Formula for the volume of the cork =
`\pi r^(2) h`

Where r = radius of the cork

h = height of the cork

V =
`\pi (2)^(2)(5)`

= 20π

= 62.86 cm³

Therefore, volume of the cork is 62.86 cm³.

b). Formula for cork's density =
`\frac{\text{Mass}}{\text{Volume}}`

=
`(2.5)/(62.86)`

Therefor, Density of the cork = 0.03977 grams per cm³