Summer Math Packet Year 8 Page 9
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18Unit: Knowledge of Measurement
Textbook Section: 11-2
Objective: Estimate and determine the volume of a cylinder
Examples:
•
Amount a 3-D figure will hold
•
Always cubed. For Example: cm3 or cubic centimeters
•
FORMULA: Generalized: V = Bh where B = area of the base and h = height
Volume of Cylinders: The volume V of a cylinder with radius r is the area of the base, rrr 2, times the height h, or
V=rrr2 h
r = 2.2 ft
You may use a calculator to solve # 1— 6. Round to the nearest hundredth if necessary.
P43=g
SgiE
1.) Estimate the volume of this cylinder.
2.) Determine the volume of this cylinder.
8
yd.
A) 384 yd. 3
B) 790 yd.' C) 401 yd.'
D) 785 yd. 3
3.) Determine the volume of this cylinder.
7
mm
4.) Determine the volume of this cylinder.
18 cm
2
5.) A water tank is in the shape of a cylinder that has a
height of 75 meters and a diameter of 20 meters.
Determine the volume of this cylinder.
6.) Your Science teacher is teaching your class about
Kaleidoscopes and how to build them. Your Kaleidoscope
has a radius of 2 inches and a height of 9 in. What is the
volume of your Kaleidoscope?
h = 4 ft
d = 20 ft
h = 5 ft
V=rrr2 h
V = 3.14.102 . 5
V= 3.14.100.5
V=314.5
V =1570 = 1570 ft3
*Note:
d = 20
THEREFORE
r = 10
102 = 10 x 10 = 100
V=1Tr2 h
V= 3.14.2.22 .4
V= 3.14.4.84.4
V= 15.1976.4
V = 60.7904 = 60.8 ft3
*Note:
2.22 = 2.2 x 2.2 = 4.84
11 m
12 mm
Level 8 (Pre-Algebra) — Summer Math Packet
Revised 5/09
11
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