Question

find the radius of an aluminum cylinder that is 2.00 cm long and has a mass of 12.4g. for a cylinder, V = pi r^2 l . please explain steps.

Answer 1

Answer:

think this is how to do it... if wrong ignore it

Answer 2

Given:

Aluminum cylinder that is 2.00 cm long and has a mass of 12.4g.

To find:

Radius of the cylinder.

Calculation:

Density of Aluminium = 2.7 g/cm³.

We know that mass is given as the product of density and volume;

$\therefore \: m = \rho \times v$

$= > \: m = \rho \times (\pi {r}^{2} l)$

$= > \: 12.4 = (2.7)\times (\pi {r}^{2} l)$

$= > \: 12.4 = (2.7)\times (\pi \times {r}^{2} \times 2 )$

$= > {r}^{2} = \dfrac{12.4}{\pi \times 2 \times 2.7}$

$= > {r}^{2} = \dfrac{12.4}{\pi \times 5.4}$

$= > {r}^{2} = 2.29$

$= > r = 1.51 \: cm$

So, final answer is:

$\boxed{ \bf{ r = 1.51 \: cm}}$