69 705
Assignments Done
99,4%
Successfully Done
In February 2019

Answer to Question #71314 in Other Physics for David Atabo

Question #71314
If a spherical metal bob of radius 3cm is fully immersed in a cylinder containing water and the water level rises by 1cm, what is the radius of the cylinder?
Expert's answer
When we drop the sphere into the cylinder of water, it sinks to the bottom.
How much water is displaced by the sphere we dropped in?
The volume of a sphere is given by
V_sphere=4/3 πr_sphere^3
Now that we know the amount of water that 'moved', and we know the container holding that water is a right circular cylinder, all we need to know is the formula for the volume of such a cylinder.
V_cylinder=hπr_cylinder^2

Now we can equate those two volumes and solve for r_cylinder
4/3 πr_sphere^3=hπr_cylinder^2
r_cylinder=√((4r_sphere^3)/3h)=√((4×(3)^3)/(3×1))=√(4×3^2 )=2×3=6 cm

Answer: 6 cm.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions