Respuesta :
Answer:
You have to replace x for each density
Step-by-step explanation:
Density = Mass / Volumen
1,000 g = 1 kg
1,000,000 cm^3 = 1 m^3
g/cm^3 = 1000 kg/m^3
Using density as x
[tex]volumen \: = \frac{50000}{x} \\ volumen \: sphere \: = 4\pi {r}^{3} \\ 4\pi {r}^{3} = \frac{50000}{x} \\ r = \sqrt[3]{ \frac{50000}{4\pi {x}^{} } } [/tex]
Density can be defined as the mass per unit volume of a given substance.
The formula is given as:
Density = Mass / volume
The radius of the Aluminum sphere is 16.43cm and the radius of the Lead sphere is 10.17 cm
- The density of lead is 11.34 g/cm³.
- The density of aluminum is 2.69 g/cm³.
- Mass of lead and Aluminum = 50kg
- Step 1: Convert the masses of Lead and Aluminium from kg to g
1 kg = 1000g
50kg = ?
Cross Multiply
50kg × 1000g/ 1 kg
= 50,000g
The mass of lead and Aluminum is 50,000g
- Step 2: Find the Volume and radius of Aluminium
The density of Aluminum is 2.69 g/cm³.
Mass of Lead is 50,000g
Volume = Mass/ Density
Volume of Aluminum = 50,000g/ 2.69 g/cm³
Volume of Aluminium = 18587.360595 cm³
The Volume of the Aluminum Sphere = 18587.360595 cm³
The formula to find the radius is given as
(3V/4π)[tex]^{1/3}[/tex]
= (3 × 18587.360595/ 4π)[tex]^{1/3}[/tex]
The radius of the lead sphere = 16.43 cm
- Step 3: Find the Volume and radius of Lead
The density of lead is 11.34 g/cm³.
Mass of Lead is 50,000g
Volume = Mass/ Density
Volume of Lead = 50,000g/ 11.34 g/cm³
Volume of Lead = 4409.1710758 cm³
The Volume of a Lead Sphere = 4409.1710758 cm³
The formula to find the radius is given as
(3V/4π)[tex]^{1/3}[/tex]
= (3 × 4409.1710758/ 4π)[tex]^{1/3}[/tex]
The radius of the lead sphere = 10.17 cm
Therefore, the radius of the Aluminum sphere is 16.43cm and the radius of the Lead sphere is 10.17 cm.
To learn more, visit the link below:
brainly.com/question/2622640
