A copper ball has a mass of 1 kg. Calculate the radius of the ball, given that the density of copper is 8900kg m-3
D=m/volume=mass/(4/3 PI r^3)
r^3= 3 mass/(4PI*D)
r= cubrt (3*1/(3*PI*8900) = about 3.3 cm check that
To calculate the radius of the copper ball, we can use the following formula:
Density = Mass / Volume
First, we need to find the volume of the copper ball. We know that the mass of the ball is 1 kg and the density of copper is 8900 kg/m^3.
Density = Mass / Volume
Rearranging the formula, we get:
Volume = Mass / Density
Replacing the mass and density values, we have:
Volume = 1 kg / 8900 kg/m^3
Now, we can use the formula for the volume of a sphere:
Volume = (4/3) * π * (radius)^3
Rearranging the formula, we get:
(radius)^3 = (3/4) * (Volume / π)
Substituting the volume value, the equation becomes:
(radius)^3 = (3/4) * ((1 kg / 8900 kg/m^3) / π)
Now, we can solve for the radius:
(radius) = [(3/4) * ((1 kg / 8900 kg/m^3) / π)]^(1/3)
Calculating this equation will give us the radius of the copper ball.