Grade 8 Mathematics
STAAR Cateqorv 3
TEKS B.7A
NAME-
scoRE
B.7A Skills and Concepts
1.
_Js
1
What is the volume of the cylinder represented below? Show your work.
14 cm
2.
A sphere has a diameter of 4 meters. What is the volume of the sphere? Show your work.
Diameter: 4 meters
3.
Find the volume of the cone.
4in.-
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Grade 8 Mathematics
STAAR Cateqory 3
4.
TEKS B.7A
Which has the greater volume: a cylinder with a 6-inch radius and a height of B inches or a cone
with a radius of B inches and a height of 6 inches?
How much larger is the larger volume?
5. What is the volume of a hemisphere
(half a sphere) if the diameter is 6
Draw and label a sketch of the figure.
feet?
Show your work.
DATE----
NAME-
SCORE
8.7A Skills and ConcePts 2
1.
What is the volume of the cylinder represented below? Show your work.
2.
A sphere has a diameter of B meters. What is the volume of the sphere? Show your work.
Diameter: 8 meters
3. Find the volume of the cone.
12
inTr
-J5
4'
Which has the greater volume: a cylinder with a radius of 6 inches and a height of B inches or a
cylinder with a radius of B inches and a height of 6 inches?
How much larger is the larger volume?
5'
What is the volume of a hemisphere (half a sphere) if the diameter is 12
feet?
Show your work.
Draw and label a sketch of the figure.
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e2
Grade 8 Mathematics
STAAR Cateoorv 3
B.7A Mini-Assessment
1.
TEKS 8.7A
1
A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the
following best represents the height of the cone?
A B inches
B 4 inches
C 12 inches
D 16 inches
2.
A sphere has a volume of approximately 113 cubic
radius of the sphere?
units. Which of the following best represents the
F 4 units
G 2 units
H 3 units
J 5 units
3.
The circumference of the great circle of a sphere is !2zt inches. Which of the following expressions
can be used to approximate the volume of the sphere?
-4
A 12'x3.L4x3
"4
B L2'x3.I4x:
3
-L
C 6'x3.14x3
D
4.
24" x3.14
x-4
3
The volume of a cylinder is approximately 942 cubic inches. The height of the cylinder is 12 inches.
Which is the best approximation for the radius of the cylinder?
F
G
H
J
4 inches
6 inches
7 inches
5 inches
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STAAR Cateqorv 3
5.
Grade 8 Mathematics
TEKS B.7A
Ms. Samson is using several cones to decorate for a party. The cones she has chosen are B inches
tall and have a radius of 3 inches, What is the volume of one of the cones to the nearest whole
cubic inch?
Record your answer on the grid below, Be sure to use the correct place value.
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6.
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Ben drew a cylinder with a ten-inch diameter and a height of B inches. Robert drew a cylinder with
an eight-inch diameter and a height of 10 inches, Ben stated that he thought the volumes of their
two cylinders would be equal, Which statement is true?
F
G
Ben's statement is correct. They will have the same volume.
Ben's statement is incorrect. Ben's cylinder will have a volume about 125 cubic units more than
Robert's cylinder.
H
Ben's statement is incorrect. Ben's cylinder will have a volume about 300 cubic units more than
Robert's cylinder.
J
7.
Ben's statement is incorrect. Robert's cylinder will have a volume about 125 cubic units more
than Ben's cylinder.
A cylinder and a cone have congruent bases and heights. What will be the relationship of the
volumes of the two figures?
A
B
The volume of the cylinder will be twice the volume of the cone.
C
The volume of the cylinder will be
D
The volume of the cone will be one-fourth the volume of the cylinder.
{3 tfre uotume of the cone.
The volume of the cylinder will be three times the volume of the cone.
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Grade 8 Mathematics
STAAR Cateqorv 3
TEKS 8.74
ice cream cone has a radius of 1.5 inches and a height of 4 inches. Janie orders 1 dip of ice
cream that fills the top of the cone so that half of the sphere of ice cream is above the cone and
half is pushed into the cone.
B. A large
Which is closest to the volume of the cone NOT filled with ice cream?
F
G
H
J
9.
9 cubic inches
14 cubic inches
7 cubic inches
2 cubic inches
Which cylinder has a volume that is more than 200 cubic units but less than 300 cubic units?
A
Radius: 4 units
Height: 5 units
Radius: 5 units
B
Height: 4 units
Radius: 8 units
Height: 3 units
c
Radius: 2 units
D
Height: 9 units
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O 2014
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STAAR Cateoorv 3
Grade 8 Mathematics
TEKS B.74
,\.
10.
A cylinder has a rectangular prism that fits inside so that the vertices of the prism are on the bases
of the cylinder. The top view of the cylinder and prism is shown below. The cylinder and prism are
12 inches tall.
10 inches
Which statement is NOT true?
F
G
H
J
The volume of the prism is 576 cubic inches.
The volume of the cylinder is about 942 cubic inches
The volume of the prism fills about 75o/o of the volume of the cylinder,
The volume of the cylinder not contained in the prism is about 366 cubic inches,
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