Question

What is the surface area of the composite figure? (Use 3.14 for π .)

954.56 in. 2
1,356.48 in. 2
1,155.52 in. 2
1,557.44 in. 2

Answer 1

the picture in the attached figure

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

the answer is
954.56 in²