Question 1011098
R, known radius of the sphere
r, known radius of each cylinder
h, length of small cylinder
2h, length of large cylinder


First find h.
Sum of volumes is the original sphere's volume.


{{{highlight_green((4/3)pi*R^3=h*pi*r^2+2h*pi*r^2)}}}
{{{h(pi*r^2+2pi*r^2)=(4/3)pi*R^3}}}
{{{h*pi*(r^2+2r^2)=(4/3)pi*R^3}}}
{{{h=((4/3)R^3)/(r^2+2r^2)}}}
{{{highlight(h=(4R^3)/(3r^2+6r^2))}}}


Evaluate h using {{{system(R=21,r=14)}}}.


Use formulas for surface areas to answer the second question.
If X is radius in general, and L is length in general:
Sphere:   {{{4pi*X^2}}}
Cylinder:  {{{(2pi*X)*L+2*pi*X^2}}}