Question 1156482

To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. 

Each end is a circle so the surface area of each end is {{{pi*r^2}}}, where {{{r}}} is the radius of the end. There are two ends so their combined surface area is {{{2pi*r^2}}}.

the surface area of the side is {{{pi*d*h}}}=>{{{2pi*r*h}}}

The entire formula for the surface area of a cylinder is 

{{{SA=2pi*r^2 + 2pi*r*h}}}


given: 

a height of {{{h=4yd}}} 

and a base diameter of {{{d=6yd}}}=>{{{r=3yd}}}


{{{SA=2pi*(3yd)^2 + 2pi*(3yd)*(4yd)}}}


{{{SA=2pi*9yd^2 + 2pi*12yd^2}}}

{{{SA=18pi*yd^2 + 24pi*yd^2}}}

{{{SA=42pi*yd^2 }}}