Asap! 50 points! 10 questions!
1. if a cylinder has a surface area of 36 square inches and its radius is 1.6 inches, how tall is the cylinder in inches? π = 3.14. round to the nearest tenth.

2. a regular hexagonal pyramid has a base area of 29 in^2 and a lateral area of 210 in^2. what is the surface area of the hexagonal pyramid?
a) 268 in^2
b) 114 in^2
c) 239 in^2
d) 91 in^2

3. what is the surface area of the following cylinder in square inches? use π = 3.14 and round your answer to the nearest tenth.
radius = 3.2 height = 4.1

4. a cube has surface area of 150 in^2. how long is each side of the cube?
a) 25 in.
b) 6 in.
c) 10 in.
d) 5 in.

5. a cube has sides that are 3 in. long. what is the surface area of the cube?
a) 72 in^2
b) 54 in^2
c) 36 in^2
d) 61 in^2

6. what is the surface area of this box?
height = 3.5 length = 6 width = 3
a) 126 ft^2
b) 99 ft^2
c) 84 ft^2
d) 79.5 ft^2

7. if a cylinder has a surface area of 59 square inches and its radius is 2.1 inches, how tall is the cylinder in inches? use π = 3.14. round to the nearest tenth

8. what is the surface area of the cone below, rounded to the nearest tenth? use π = 3.14.
height = 12 radius = 5
a) 266.9 in^2
b) 113.8 in^2
c) 134.7 in^2
d) 108 in^2

9. a square pyramid has a surface area of 202 ft^2 and a base area of 53 ft^2. what is the lateral area of the pyramid?
a) 149 ft^2
b) 96 ft^2
c) 174 ft^2
d) 151 ft^2

10. what is the surface area of the cone below, rounded to the nearest tenth? use π = 3.14
radius = 2 height = 4
a) 38.6 cm^2
b) 39.2 cm^2
c) 40.6 cm^2
d) 41.2 cm^2

Part 1) If a cylinder has a surface area of 36 square inches and its radius is 1.6 inches, how tall is the cylinder in inches? π = 3.14. Round to the nearest tenth.

we know that
surface area of the cylinder=2*area of the base+perimeter of the base*height

area of the base==pi*r²*h> 3.14*1.6²*h> 8.0384*h in²

perimeter of the base=2*pi*r---> 2*3.14*1.6> 10.048 in

surface area=36 in²
so
36=2*[8.0384*h]+10.048*h> 36=26.1248*h
h=36/26.1248> h=1.38 in> h=1.4 in

the answer Part 1) is
h=1.4 in

Part 2) 2. A regular hexagonal pyramid has a base area of 29 in^2 and a lateral area of 210 in^2. What is the surface area of the hexagonal pyramid?

surface area of the hexagonal pyramid=2*area of base+lateral area
surface area of the hexagonal pyramid=2*29+210> 268 in²

the answer part 2) is 
surface area=268 in²

Part 3) What is the surface area of the following cylinder in square inches? Use π = 3.14 and round your answer to the nearest tenth.
Radius = 3.2 Height = 4.1
we know that
surface area of the cylinder=2*area of the base+perimeter of the base*height

area of the base==pi*r²*h> 3.14*3.2²*4.1> 131.83 in²

perimeter of the base=2*pi*r---> 2*3.14*3.2> 20.096in

surface area=2*131.83+20.096*4.1> 346.05 in²> 346.1 in²

the answer Part 3) 
surface area=346.1 in²

part 4)A cube has surface area of 150 in^2. How long is each side of the cube?

we know that
surface area of cube=6*b²
where b is the length side of the cube
SA=6*b²> b=√SA/6> b=√150/6> √25> b=5 in

the answer Part 4) is
b=5 in

Part 5)  A cube has sides that are 3 in. long. What is the surface area of the cube?
we know that
surface area of cube=6*b²
where b is the length side of the cube
b=3 in
so
SA=6*3²> 54 in²

the answer Part 5) is
SA=54 in²

Part 6) What is the surface area of this box?
Height = 3.5 Length = 6 width = 3

surface area of the box=2*area of the base+perimeter of base*height 

area of the base=6*3> 18 ft²

perimeter of the base=2*[6+3]> 18 ft
height=3.5 ft

surface area of the box=2*18+18*3.5> 99 ft²

the answer Part 6) is
SA=99 ft²

Part 7) If a cylinder has a surface area of 59 square inches and its radius is 2.1 inches, how tall is the cylinder in inches? Use π = 3.14. Round to the nearest tenth


we know that
surface area of the cylinder=2*area of the base+perimeter of the base*height

area of the base==pi*r²*h> 3.14*2.1²*h> 13.8474*h in²

perimeter of the base=2*pi*r---> 2*3.14*2.1> 13.188 in

surface area=59 in²
so
59=2*[13.8474*h]+13.188*h> 59=40.8828*h
h=59/40.8828> h=1.44 in> h=1.4 in

the answer Part 7) is
h=1.4 in

Part 8) What is the surface area of the cone below, rounded to the nearest tenth? Use π = 3.14.
Height = 12 Radius = 5
surface area of the cone=pi*r²+pi*r*l
r=5 in
h=12 in
l=slant height
l²=r²+h²> l²=5²+12²> l²=169> l=13 in

surface area of the cone=3.14*5²+3.14*5*13> 282.6 in²

the answer Part 8) is
SA=282.6 in²

Part 9) A square pyramid has a surface area of 202 ft^2 and a base area of 53 ft^2. What is the lateral area of the pyramid?

we know that
surface area=area of the base+lateral area
lateral area=surface area-area of the base
lateral area=202-53> 149 ft²

the answer Part 9) is
LA=149 ft²

Part 10)What is the surface area of the cone below, rounded to the nearest tenth? Use π = 3.14
Radius = 2 Height = 4

surface area of the cone=pi*r²+pi*r*l
r=2 cm
h=4 cm
l=slant height
l²=r²+h²> l²=2²+4²> l²=20> l=4.47 cm

surface area of the cone=3.14*2²+3.14*2*4.47> 40.63 cm²

the answer Part 10) is
SA=40.6 cm²

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