Find the volume of the shell by taking the volume of a sphere or radius r2 and subtract out the volume of a sphere of radius r1. Then multiply the mass density times the volume.rumaithya said:Hello,
How can we find the mass of a material with density p is required to make a hollow spherical shell having inner radius r1 and outer radius r2 ?
Thanks
Hint: The volume of a sphere of radius r is [itex]V = \frac{4}{3}\pi r^3[/itex].rumaithya said:What is the volume of r1 and r2 ?! there isn't any given numbers
The mass of a hollow spherical shell can be calculated by using the formula: M = ρ × V, where ρ is the density of the material and V is the volume of the shell. The volume of a hollow spherical shell can be obtained by subtracting the volume of the inner sphere from the volume of the outer sphere, using the formula V = (4/3)πr3.
A solid spherical shell is a three-dimensional object with a uniform thickness, while a hollow spherical shell has an empty space inside. The mass of a solid spherical shell is evenly distributed throughout the object, while the mass of a hollow spherical shell is concentrated on the outer surface.
The mass of a hollow spherical shell is affected by its radius, thickness, and the density of the material used. A larger radius and thicker shell will result in a higher mass, while a lower density material will result in a lower mass.
No, the mass of a hollow spherical shell cannot be negative. Mass is a physical quantity that represents the amount of matter in an object and it cannot have a negative value. If the calculated mass is negative, it indicates an error in the calculation.
The accuracy of the calculated mass of a hollow spherical shell depends on the accuracy of the input values and the assumptions made in the calculation. It is important to use precise measurements and consider factors such as the thickness of the shell and the uniformity of the material to obtain an accurate result.