What is the radius of the spherical cavity?

AI Thread Summary
To determine the radius of the spherical cavity within the concrete chunk, the mass and volume of the chunk are essential. The chunk weighs 38 kg and has a total volume of 0.025 m³. Using the density of concrete, which can be researched, one can calculate the mass of a solid concrete chunk of the same volume. By comparing this mass to the actual mass, the volume of the cavity can be deduced, leading to the calculation of the radius. Understanding the relationship between mass, volume, and density is crucial for solving this problem.
ramalik
Messages
12
Reaction score
0
An irregularly shaped chunk of concrete has a hollow spherical cavity inside. The mass of the chunk is 38 kg, and the volume enclosed by the outside surface of the chunk is 0.025 m3. What is the radius of the spherical cavity?

I think you have to find the surface area to solve for the radius and all this has to do with the density of the sphere, but I don't know how to connect it all
 
Physics news on Phys.org
No need to mess around with surface areas, but you do need to use the density of concrete. (Look it up!) Hint: If the chunk were solid concrete, what would be its mass?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top