we know that surface area of the figure=[surface area of hemisphere]+[surface area of the cylinder]
step1 find the surface area of hemisphere surface area hemisphere=2*pi*r² for r=8 in surface area hemisphere=2*pi*8²-----> 401.92 in²
step 2 find the surface area of the cylinder surface area of cylinder=area of the base+perimeter of the base*height
area of the base=pi*r² for r=8 in area of the base=pi*8²----> 200.96 in²
perimeter of the base=2*pi*r----> 2*pi*8-----> 50.24 in
surface area of cylinder=200.96+50.24*7-----> 552.64 in²
step 3 surface area of the figure=[surface area of hemisphere]+[surface area of the cylinder] surface area of the figure=[401.92]+[552.64]-----> 954.56 in²