Name
Date
Volume Cylinder
Class
Practice
1. a. What is the area of the base?
B = 3.14 • _____2 = _____ cm2
b.What is the height of the cylinder? _____ cm
c.What is the volume of the cylinder?
V = B • h = _____ • _____ = _____ cm3
Solve. Use 3.14 for π. Round your answer to the nearest tenth, if necessary. Show your work.
2. A feeding trough was made by hollowing out half of a log. The trough is shaped like half a cylinder. It is
5 feet long and has an interior diameter of 1.5 feet. What is the volume of oats that will fill the trough?
3. You buy 3 candles in the shape of cylinders as shown below.
Tall Candle
a.
Medium Candle
Short Candle
Use the dimensions shown above to find the volume of each candle to the nearest
hundredth. Complete the table.
Candle Size
Radius
Height
Volume
Tall Candle
Medium Candle
Short Candle
b.
Which candle has the most wax?
c.
How much more wax does this candle have than the candle with the least wax?
d.
Write an inequality that shows the amount of wax in the three candles ordered from
least to greatest.
4. A cylinder has a height of 8 feet and a volume of 628 cubic feet.
Find the radius of the cylinder. Use 3.14 for π. Show your work.
5. Mr. Macady has an old cylindrical grain silo on his farm that stands 25 feet high with a
diameter of 10 feet. Mr. Macady is planning to tear down the old silo and replace it with a
new and bigger one. The new cylindrical silo will stand 30 feet high and have a diameter of
15 feet.
a. What is the volume of the old silo? ___________________________
b. What is the volume of the new silo? ___________________________
c. How much greater is the volume of the new silo than the old silo? _____________________
Maintain Your Skills
1.
2.
The coordinate grid shows parallelogram PQRS.
Parallelogram PQRS is rotated 90° clockwise
about the origin to create parallelogram P’Q’R’S’.
Which rule describes this transformation?
A (x, y)
(x, –y)
B (x, y)
(–x y)
C (x, y)
(y, x)
D (x, y)
(y, –x)
Julie made 25 international long-distance phone calls
to London last month. The scatterplot below shows
the length and cost of each phone call she made.
Which conclusion is best supported by the scatterplot?
A
As the length of a call increases,
the cost of the call increases.
B
As the length of a call increases,
the cost of the call remains the same.
C
As the length of a call increases,
the cost of the call decreases.
D
There is no relationship between the length
of a call and the cost of a call.
ANSWERS
1. a. B = r2; B = 3.14  42 = 3.14  16 = 50.24 cm2
b. 16 cm
c. V = Bh; V = 50.24  16; V = 803.84 cm3
2. 8.8 ft3; 3.14  (0.75)2  5 = 8.83125
3. a.
Candle
Radius Height
Volume
Size
Tall
Candle
2 in.
10 in.
125.6 in.3
Medium
Candle
3 in.
6 in.
169.56 in.3
Short
Candle
4 in.
4 in.
200.96 in.3
b. The short candle has the most wax.
c. 75.36 in3; 200.96 - 125.6 = 75.36
d. 125.6 < 169.56 < 200.96
4. 628 = (3.14) (r 2) (8)
628 = 25.12r 2
25 = r 2
5=r
5. a. 1,962.5 ft3; 3.14  (5)2  25  3.14  25  25  1,962.5
b. 5,298.8 ft3; 3.14  (7.5)2  30  3.14  56.25  30  5,298.8
c. 3,336.3 ft3; 5,298.8  1,962.5  3,336.3
Maintain Your Skills
1. D
2. D