Question

A copper cylinder, 12.0 cm in radius, is 44.0 cm long. If the density of commoner is 8.90 g/cm3, calculate the mass in grams of the cylinder

Answer 1

The mass of the copper cylinder is 177065.856g

Given:

Radius of the copper cylinder R=12cm

Height of the copper cylinder H=44cm

Density of the cylinder=8.90
`(g)/(c m^(3))`

To find:

Mass of the copper cylinder

Step by Step by explanation:

Solution:

According to the formula, Mass can be calculated as

`\rho=(m)/(v)` and from this

`m=\rho * v`

Where, m=mass of the cylinder

`\rho` =density of the cylinder

v=volume of the cylinder

And also cylinder is provided with radius and height value.

So volume of the cylinder is calculated as

`v=\pi r^(2) h`

Where
`\pi`=3.14

r=radius of the cylinder=12cm

h=height of the cylinder=44cm

Thus,
`v=3.14 * 12^(2) * 44`

v=3.14 \times 144 \times 44

`v=19895.04 \mathrm{cm}^(3)`

And we know that,
`m=\rho * v`

Substitute the known values in the above equation we get

`m=8.90 * 19895.04`

m=177065.856g or 177.065kg

Result:

Thus the mass of the copper cylinder is 177065.856g