Answer to Question #226919 in Chemical Engineering for Lokika

Question

What is the sphericity of a hollow cylinder whose length is 10 times of its own diameter?

A) 0.14

B) 0.21

C) 0.37           D) 0.69

E) None of the above

Answer 1

$\phi_s= \frac{6 V_P}{D_pS_p}\\ V_p=\frac{\pi d^2 h}{4} =10*\frac{\pi d^3 }{4}\\$

S_p can be found by

$\frac{\pi}{6}D_p^3=\frac{\pi}{4}d_p^3\\ D_p=6d^3\\ D_p= 1.14d_p\\ S_p= 1-D_p\\ S_p= 1-1.14\\ S_p=0.14$