Astudent in an undergraduate physics lab is studying archimede's principle of bouyancy. the student is given a brass cylinder and, using a triple beam balance, finds the mass to be 2.23 kg. 2.23 kg. the density of this particular alloy of brass is 8.44 g/cm 3 . 8.44 g/cm3. the student ties a massless string to one end of the cylinder and submerges it into a tank of water where there is an apparent reduction in the weight of the cylinder. with this information, calculate the volume, v , v, of the cylinder and the tension, t , t, in the string when it is submerged in the tank of water. the density of water is 1.00 g/cm 3 , 1.00 g/cm3, and the acceleration due to gravity is g

V = 2.64 10⁻⁴ m³,    T = 21.85 N ,    T = 19.26 N

Explanation:

To calculate the cylinder volume we use the density equation

     ρ = m / V

    V = m / ρ

    ρ = 8.44 g / cm³ (1 kg / 1000g) (10² cm / 1m)³ = 8.44 10³ kg / m³

    V = 2.23 / 8.44 10³

    V = 2.64 10⁻⁴ m³

We calculate the tension with Newton's second law

In the air

    T-W = 0

    T = mg

    T = 2.23 9.8

    T = 21.85 N

In water

In this case we have the push up

   T + B -W = 0

   T = W -B

The push formula is

   B =  g V

   T = m g -  g V

   T = 2.23 9.8 - 1.00 103 9.8 2.64 10-4

   T = 21.85 - 2.5872

   T = 19.26 N

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )