A solid sphere has a surface area of 7.13 (10^-2) m^2.

Question

A solid sphere has a surface area of 7.13  10^-2 m².

a) What is the radius of the sphere?

= ? m

b) What is the volume of the sphere? 

= ? m³

c) If the sphere has a mass of 2.70  10^-3 kg,

 what is the volume density of the sphere?

= ? kg/m³ 

d) If the sphere was instead a hollow one, what would be the area density of the sphere? 

= ? kg/m²

Answer 1

a) r=sqrt((7.13E-2) / 4 / pi) = 7.53E-2 m

b) V = 4/3 * pi * r ^ 3 = 1.79E-3 m^3

c) d = m / V = 2.70E-3 kg / 1.79E-3 m^3 = 1.51 kg/m^3

d) d = m / S = 2.70E-3 kg / 7.13E-2 = 3.79E-2 kg/m^2