MATH SOLVE

4 months ago

Q:
# What is the surface area of the composite figure? (Use 3.14 for π .) 954.56 in. 21,356.48 in. 21,155.52 in. 21,557.44 in. 2

Accepted Solution

A:

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

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