Name: ___________________________________
Chapter 1 Assignment: Math 1201
Part A: Multiple Choice
1. Which expression would you use to calculate the lateral area of a right cone?
(A) πr2 + πrs
(B) πdh
(C)
1
πr 2 h
3
(D) πrs
2. Which equation could you not use to convert 5 in. to centimetres?
x
2.54
(A) 5 in. = 5  2.54 cm
(B)
=
5
1
x
1
2.54 cm
(C)
=
(D) 5 in. = 5 in. 
1 in.
5
2.54
3. If a soccer ball has a diameter of 22 cm, how many cubic centimetres of air would be
required to fully inflate the soccer ball?
(A)
(B)
(C)
(D)
138
276
5572
44602
s=13 cm
4. Find, to the nearest square centimetre, the surface area of the figure
(including the base).
(A)
(B)
(C)
(D)
263 cm2
273 cm2
283 cm2
293 cm2
5 cm
5. To the nearest tenth of a cubic centimetre, what is the volume of the sphere if r = 7 in.?
(A)
(B)
(C)
(D)
205.3 in3
615.8 in3
1436.8 in3
2212.4 in3
7
6. What is the volume of the pyramid that just fits inside the cube?
(A) 13.65m3
(B) 87.38m3
(C) 262.14m3
(D) 785.43m3
6.4 m
7. A cone and a cylinder have the same height and the same base radius. If volume of the
cylinder is 81 cm3, what is the volume of the cone in cm3?
(A) 9
(B) 27
(C) 78
(D) 243
8. A cone has a volume of 30 cm3 and a base area of 15 cm2. What is the height of the cone?
(A)
2 cm
(B)
4 cm
(C)
6 cm
9. A picture of an ice cream cone is shown to the right. If the ice cream fills
the entire cone, how much ice cream is there?
(Hint: total volume of the ice cream)
2.5 cm
81.8cm3
88.36cm3
114.5cm3
127.6cm3
7.5 cm
(A)
(B)
(C)
(D)
10. Janet’s Driver’s license states that her height is 165cm. What is her
approximate height in feet and inches (Note: 1 in. 2.5 cm)?
(A) 5’9’’
(B) 5’8’’
(C) 5’7’’
(D) 5’6’’
1.
2.
3.
4.
5.
___ D
___ C
___ C
___ C
___ C
6. ___ B
7. ___ B
8. ___ C
9. ___ A
10. ___ D
Part B: Answer the questions in the space provided
1. Give your answers to the nearest unit.
Find the Volume
b) Find the Surface Area
Let h be the height of the cone.
Let r be the radius of the
cylinder/hemisphere.
a)
h 2  3.12  9.62
h 2  9.61  92.16
r
h 2  9.61  9.61  92.16  9.61
h 2  82.55
2.5
 1.25; h  3
2
SA   1.25   2 1.25  3  2 1.25 
2
SA  38in 2  nearest unit 
h   82.55
h  9.1m
  3.1  9.1
2
V
3
 92m3  nearest unit 
2. A right prism and a right pyramid have the same base and the same height.
Explain how their volumes are related.
The volume of the pyramid is one-third the volume of the prism.
OR
The volume of the prism is three times the volume of the pyramid.
2
3. The surface area of a sphere is 137.5 cm2. What is the radius of the sphere to the nearest
tenth of a centimetre?
SAsphere  4 r 2
137.5  4 r 2
137.5 4 r 2

4
4
r 2  10.94
r   10.94
r  3.3cm  nearest tenth 
4. The volume of a right square pyramid is 126 cubic feet. The side length of the base is 8 ft.
a) Sketch the pyramid.
s
h
8ft
8ft
b) Determine the height of the pyramid to the nearest foot.
Abase  h
3
2
8 h
126 
3
64h
126 
3
 64h 
3 126   3 

 3 
378  64h
378 64h

64
64
h  6ft.  nearest ft.
V pyramid 
c) What is the slant height of the pyramid to the nearest foot?
s 2  62  42
s 2  36  16
s 2  52
s   52
s  7ft.  nearest ft.
8. Nakkita used a pedometer to count the number of steps she took on her morning walk.
At the end of her walk, the pedometer had recorded 4498 steps.
a) Nakkita’s typical step length when walking is 0.7 m.
To the nearest mile, how far did Nakkita walk?
4498  0.7  3148.6m
3148.6
 3.1486km
1000
3.1486
 1.967875mi.  2mi.  nearest mile 
1.6