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WorksheetsUnit 5 Test Review (Volume & Surface Area)
Total questions: 48
Worksheet time: 2hrs 24mins
Name
Class
Date
1.
Find the volume
a)
125.6 m³
b)
502.4
c)
1256
d)
314
2.
What is the volume of a can of soup with a base radius of 2 inches and a height of 5 inches? (Round to the nearest tenth.)
a)
62.8 in³
b)
31.4 in³
c)
15.7 in³
d)
12.6 in³
3.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
4.
Find the missing height of the cone, if the volume is 150.72cm3. (Round to the nearest tenth.)
a)
2.7 cm
b)
12.6 cm
c)
4.0 cm
d)
1.3 cm
5.
Find the volume of a sphere whose diameter is 4cm to the nearest whole number.
a)
34 cm³
b)
268 cm³
c)
50 cm³
d)
201 cm³
6.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
7.
Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
8.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
9.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.3 m3
d)
62.8 cm3
10.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
11.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
12.
A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume?
a)
113.04 cm3
b)
452.16 cm3
c)
1017.36 cm3
d)
50.24 cm3
13.
A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?
a)
25.12
b)
75.36
c)
150.72
d)
452.16
14.
a)
1170 cm3
b)
170 cm3
c)
1100 cm3
d)
1170 ft3
15.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
16.
Find the surface area when r=21.5 inches.
Choose the correct units.
Choose the correct units.
a)
5805.9 in2
b)
1849 in2
c)
1849 in3
d)
5805.9 in3
17.
What is this formula?
a)
surface area of a cone
b)
surface area of a sphere
c)
volume of a cone
d)
volume of a sphere
18.
Given a Cylinder with total volume 4421.12 in³ that has a base diameter of 16 in. Find the height of the cylinder.
a)
69.08 in
b)
5.5 in
c)
22 in
d)
17.27 in
19.
Volume is the amount of space an object takes up.
a)
True
b)
False
20.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
21.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
22.
What is the formula for volume of a cone?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓π r² h
d)
V = ⅓ L W H
23.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
24.
Find the volume of this shape. Use 3.14 for 𝜋.
a)
1519.76 cm³
b)
276.32 cm³
c)
552.64 cm³
d)
6079.04 cm³
25.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
26.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone.
b)
The cone is 1/3 the volume of the cylinder.
c)
They have the same volume.
d)
Their volumes are not related at all.
27.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
28.
v = ?
a)
2,144.66 m3
b)
1,608.49 m3
c)
535.89 m3
d)
498.62 m3
29.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
30.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,572.45 in3
d)
7,235 in3
31.
Find the surface area of the sphere.
a)
150.72 mm2
b)
452.16 mm2
c)
226.08 mm2
d)
420.76 mm2
32.
Calculate the surface area of the given shape. Round to the nearest tenth.
a)
282.7 in2
b)
56.5 in2
c)
188.5 in2
d)
244.9 in2
33.
Calculate the surface area of the given shape. Round to the nearest tenth.
a)
282.7 in2
b)
56.5 in2
c)
188.5 in2
d)
245.0 in2
34.
Calculate the surface area.
a)
904.78 mm2
b)
452.39 mm2
c)
3,216.99 mm2
d)
3,392.92 mm2
35.
An ice cream cone has a radius of 2 inches and a slant height of 10 inches. What is the surface area of this cone?
a)
75.36 in2
b)
12.6 in2
c)
125.7 in2
d)
150.8 in2
36.
A party hat has a diameter of 18 centimeters and a slant height of 7 centimeters. Calculate the amount of material it takes to make this party hat.
a)
904.8 cm2
b)
395.8 cm2
c)
254.5 cm2
d)
452.16 cm2
37.
The volume of a cylinder is:
a)
Three times greater than the volume of a cone with the same radius and height.
b)
One-third the volume of a cone with the same radius and height.
c)
equal to the volume of a cones with the same radius and height
38.
What is the volume of this cone?
a)
37.68 cubic meters
b)
1808.64 cubic meters
c)
452.16 cubic meters
d)
113.04 cubic meters
39.
A cone has a height of 10 yards and a diameter of 10 yards. What is its volume? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
a)
261.67 cubic yards
b)
1046.67 cubic yards
c)
104.67 cubic yards
d)
52.33 cubic yards
40.
The volume of this cone is 157 cubic millimeters. What is the height of this cone?
a)
6 mm
b)
15.25 mm
c)
30 mm
d)
4108.17 mm
41.
The volume of this cone is 461.58 cubic inches. What is the radius of this cone?
a)
5.44 in
b)
7 in
c)
49 in
d)
39132.75 in
42.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for π
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
43.
What is the volume of the sphere? Use π ≈ 3.14 and round your answer to the nearest hundredth.
a)
7,234.56 ft³
b)
3150.72 ft³
c)
904.32 ft³
d)
602.88 ft³
44.
Find the volume of the cylinder. Round to the nearest hundredth, if necessary.
a)
v = 13423.5 cm³
b)
v = 17003.1 cm³
c)
v = 894.9 cm³
d)
v = 53416.74 cm³
45.
A cylinder has a height of 17 meters and a radius of 17 meters. What is its volume? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
a)
v = 907.46 m³
b)
v = 4913 m³
c)
v = 15426.82 m³
d)
v = 15434.6 m³
46.
Find the volume of the cylinder. Use π = 3.14. Round your answer to the nearest tenth.
a)
v = 63 ft³
b)
v = 125.7 ft³
c)
v = 251.3 ft³
d)
v = 314 ft³
47.
A cylinder has a height of 10 feet and a diameter of 12 feet. What is its volume?
a)
v = 1130.4 ft³
b)
v = 3551.34 ft³
c)
v = 3768 ft³
d)
v = 4521.6 ft³
48.
Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest hundredth.
a)
615.44 square inches
b)
1436.03 square inches
c)
2461.76 square inches
d)
11488.21 square inches
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