Question 679683
The base of the cylinder is a circle of radius r.

The volume formula is {{{V = pi*r^2*h}}}

given:  {{{d=10cm}}} and height is {{{13cm}}}

since {{{d=2r}}}.=>.......{{{r=5cm}}}

{{{V = pi*(5cm)^2*13cm}}}

{{{V = pi*25cm^2*13cm}}}

{{{V =325*pi*cm^3}}}


The formula for surface area of a cylinder is 

{{{S[area]          =2*pi*r^2 + 2*pi*r*h}}} 

{{{S[area]          =2*pi*(5cm)^2 + 2*pi*(5cm)*13cm}}} 
 
{{{S[area]          =2*pi*25cm^2+ 130pi*cm^2}}} 

{{{S[area]          =(50+130)pi*cm^2}}} 

{{{S[area]          =180*pi*cm^2}}}