Calculating the Volume of Water Displaced by a Kayak

[psruler]

Hi, I need help on this problem:

You own a 25kg plastic ocean kayak with a sealed interior filled with air. THe kayak has a total volume of 0.17m^3. The mass of water the kayak displace is 170kg. WHile floating, what volume of water does the kayak displace?

Thanks!

 

[Doc Al]

For the kayak to float, the buoyant force must equal its weight. From Archimedes' principle, the buoyant force equals the weight of the displaced water.

 

[psruler]

I got 0.025m^3 as the answer. Is that correct?

 

[Doc Al]

I got 0.025m^3 as the answer. Is that correct?

Looks right to me.