# Problem: The surface area of a ball is measured to be A = 95 cm2.(a) Write an equation for the radius of the ball, r, treating it as a sphere, in terms of its surface area. (b) The mass is measured to be M = 45 g. Calculate its density ρ in g/cm3. (c) What is the density Pkg/m3 in kg m3?

###### FREE Expert Solution

(a) Surface area of a sphere:

$\overline{){\mathbf{A}}{\mathbf{=}}{\mathbf{4}}{\mathbf{\pi }}{{\mathbf{r}}}^{{\mathbf{2}}}}$

Solving for r:

###### Problem Details

The surface area of a ball is measured to be A = 95 cm2.

(a) Write an equation for the radius of the ball, r, treating it as a sphere, in terms of its surface area.

(b) The mass is measured to be M = 45 g. Calculate its density ρ in g/cm3

(c) What is the density Pkg/m3 in kg m3?