A copper ball has a mass of 1kg.Calculate the radius of the ball,given that the density of copper is 8900kg m-3

recall that the volume of a sphere (geometry of the ball) is given by

V = (4/3)πr^3
where
r = radius
π = 3.14 (constant)
thus to get radius, we need to first get the volume from the given mass and density.
recall that density is just mass per volume, or
d = m/V
substituting,
8900 = 1/V
V = 0.0001124 m^3
substituting these to volume of sphere,
0.0001124 = (4/3)πr^3
0.0001124 = (4/3)*(3.14)*r^3
r^3 = 0.0001124 / 4.187
r = cuberoot(0.00002684)
r = 0.02994 or approx 0.03 m

hope this helps~ :)

To calculate the radius of the copper ball, we can use the formula for the volume of a sphere. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume of the sphere and r is the radius.

We are given the mass of the copper ball, which is 1 kg, and the density of copper, which is 8900 kg/m^3. We can use these values to find the volume of the copper ball.

The density of a material is defined as the mass per unit volume. Mathematically, density (ρ) is calculated as:

ρ = m / V

where ρ is the density, m is the mass, and V is the volume.

We can rearrange this equation to solve for the volume:

V = m / ρ

Substituting the given values, we can calculate the volume:

V = 1 kg / 8900 kg/m^3

V = 0.0001124 m^3

Now, we can use the formula for the volume of a sphere to solve for the radius.

0.0001124 m^3 = (4/3) * π * r^3

To solve for the radius (r), we need to rearrange the equation:

r^3 = (0.0001124 m^3) / ((4/3) * π)

r^3 ≈ 0.00002826 m^3

Now, to find the radius, we can take the cubic root of both sides of the equation:

r ≈ ∛(0.00002826 m^3)

r ≈ 0.0302 m

Therefore, the radius of the copper ball is approximately 0.0302 meters.