Question

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

178.98 in.2
178.98 in.3
235.5 in.2
235.5 in.3

What is the surface area of the figure shown?

740 ft 2
1,124 ft 2
1,316 ft 2
932 ft 2

Answer 1

we know that
Part 1)
[surface area of a cone without base]=π*r*l
r=3 in
l=slant height ----> 6 in
[surface area of a cone without base]=π*3*6------> 56.52 in²

[surface area of a cylinder]=π*r²+2*π*r*h------> only one base
r=3 in
h=5 in
[surface area of a cylinder]=π*r²+2*π*r*h
[surface area of a cylinder]=π*3²+2*π*3*5-----> 122.46 in²

[surface area of the composite figure]=56.52+122.46-----> 178.98 in²

the answer Part A) is
178.98 in²

Part B)
[surface area of the composite figure]
=12*16+2*12*7+2*16*7+5*12+5*16+13*16----> 932 ft²

the answer Part B) is
932 ft²