A spherical ball of lead has a radius of 10.0 cm. What is the mass of the sphere if the lead has a density of 11.34 g/cm3? (The volume a sphere can be calculated using the following equation:
(The volume a sphere can be calculated using the following equation: , where r is the radius of the sphere.)
Guide On Rating System
Vote
To calculate the mass of the sphere, we need to find its volume first.
The volume of a sphere can be calculated using the formula:
V = (4/3)πr³
Given that the radius is 10.0 cm, we can substitute this into the formula:
V = (4/3)π(10.0 cm)³
V = (4/3)π(1000 cm³)
V = (4000/3)π cm³
Now, we can calculate the mass using the density formula:
Density = Mass / Volume
Rearranging the formula to solve for mass:
Mass = Density x Volume
Given that the density of lead is 11.34 g/cm³, and the calculated volume is (4000/3)π cm³, we substitute these values:
Mass = 11.34 g/cm³ x (4000/3)π cm³
Mass = 15072π g
Therefore, the mass of the sphere is approximately 47,381.63 g or 47.38 kg.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99