Question

Can you pick up a solid steel ball of radius 6 inches?Steel has a density of 0.28 pound per cubic inch. To the nearest pound, what is the weight of the ball?

Answer 1

Given the density of steel
\[\rho_{\text{steel}}=0.28\left[\tfrac{\text{oz}}{\text{in}^3}\right]\]
and the radius \(r=6 [\text{in}]\).



The volume of a sphere
\[V=\tfrac43 \pi r^3\]


Density is mass per volume
\[\rho=\frac mV\]rearranging \[m=\rho V\]

Answer 2

thank you so much @UnkleRhaukus