Question #220cf

1 Answer
Feb 2, 2017

Answer:

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...........