soda can area of top is 40cm2 height is 12cm density is 1.1g/cc What is volume and mass? show work please

Question

Soda can has a top area of 40cm2 and height of 12cm  density is 1.1g/cc  what is volume and mass? show work please

Answer 1

Let's assume the can is a cylinder - which is typical. The volume of a cylinder is

 

V = pi * r^2 * h

 

where r is the radius of the can and h is the height of the can. Notice that pi*r^2 is the area of a circle - that is, the area of the top of the can! So we know that 

 

V = pi * r ^2 * h = area top * h

 

So we have

 

V = 40 cm^ 2 * 12 cm = 480 cm^3

 

So we have the volume of the can. Now recall that density, D, is

 

D = Mass / Volume

 

Solving for the mass, we have

 

Mass = D * Volume

 

But we know the volume and the density. So we plug these in

 

Mass = 1.1 g/cm^3 * 480 cm^3 = 528 g

Answer 2

Hope this helps!

Volume:
A soda can has a shape of a cylinder - therefore we know that the volume of a cylinder = A*h, where A = the area of the top of the soda can and h = height of the soda can.
So V = A*h = 40cm²*12cm = 480 cm³ or 480cc

 

Density:

g/cc means g/cm³, where g = grams(which is mass)

so mass(m) = density / volume = 1.1 g/cm^{3 *} 480cm³ = 528g   (here the cm³ cancel out so you are only left with grams)

 

So V=480cm³ and m=528g