Question

Question #220cf

Answer 1

We need the formula for the volume of a cone...........and of course I had to look this up.

Explanation:

`"Volume of a cone"=1/3xxpixx"radius"^2xx"height"`

`=1/3xxpixx(10*cm)^2xx40*cm=4189*cm^3`

And thus on immersion in water it displaces a mass of `4189*g` of water, and `6283*g` of citric acid solution.

And now we work out the mass of the glass used,

`"Mass"` `=` `"volume of glass "xx" density"`

`=45*cmxx60*cmxx0.5*cmxx2.4*g*cm^-3=`

`1350*cm^3xx2.4*g*cm^-3=3240*g`

And since the cone displaces a greater mass of water than the mass of the cone, the beast should float, because there is a net buoyant force upwards in water or in citric acid.

I like this question, so I am stealing it for A2 physics...........