Given #rho_"gold"=19.3*g*cm^-3#, will a thief set off a mass-activated alarm if he steals a gold cylinder which is #22*cm# long, and which has a diameter of #7.6*cm#, and replaces the gold bar with a bag of sand whose mass is #3*kg#?
Yes, the tea leaf sets off the alarm.
The question is asking you to use density,
I need to find (i) the volume of the cylinder
Given that gold is currently selling for
Just to add that a
Refer to the explanation.
First determine the volume of the cylinders. Then use the densities of the sand and gold to calculate their masses.
Since no units for the radius and height (length) are given, but your densities are given in
Now we'll use the volume of the cylinders and the densities of sand and gold to determine their masses.
We can rearrange the equation to determine mass.
Determine the mass of sand.
Determine the mass of gold.
As you can see, the sand's mass is much lower than that of the gold, so the alarm would be expected to go off.