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WorksheetsVolume of Cylinders, Cones & Spheres
Total questions: 21
Worksheet time: 52mins
Name
Class
Date
1.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
2.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
3.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
4.
Which figure has a volume of 45π ft3?
a)
Cylinder with a height of 5ft and diameter of 6 ft
b)
Sphere with a radius of 3 ft
c)
Cone with a radius of 3 feet and height of 5 ft
d)
Sphere with a diameter of 5 feet
5.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?
Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
6.
Find the volume of the sphere.
a)
972π
b)
729π
c)
108π
d)
2,916π
7.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
8.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
9.
Volume is the number of cubic units needed to fill the space occupied by a solid.
a)
True
b)
False
10.
It is white and falls from the sky in winter.
a)
SNOW
b)
RAIN
c)
WIND
d)
COTTON BALLS
11.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
12.
Ice cream is served on a cone with a height of 7 cm and a diameter is 6 cm . What is the RADIUS of the cone?
a)
333 cm
b)
3 cm
c)
323 cm
d)
423 cm
13.
What is the difference between a cone and a cylinder
a)
They are the same
b)
A cylinder is a third smaller than a cone
c)
The formulas are identical
d)
A cone is a third smaller than a cylinder
14.
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.
15.
Daren uses rice to fill a cylindrical glass measuring 6 inches high with a radius of 2.5 inches. He pours this rice into a cardboard cylinder that is 3.5 inches high with a diameter of 8 inches. Will he have enough rice to fill the cardboard cylinder? Explain.
a)
Yes. He will be short by 58 cubic inches.
b)
No. He will be over 58 cubic inches.
c)
Yes. However it is equal
d)
No. He will be short by 58 cubic inches.
16.
This trough is filled with water. If 1 cubic foot holds 7.5 gallons, how much water will fill the trough?
a)
21.5 gallons
b)
112.5 gallons
c)
133 gallons
d)
150 gallons
17.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
18.
You have a globe that has a radius of 6 inches. Find the exact volume of the globe.
a)
288π in3
b)
2304π in3
c)
36π in3
d)
144π in3
19.
If an ice cream cone has a height of 6 inches and a radius of 5 inches. What is the exact volume?
a)
50π in3
b)
60π in3
c)
150π in3
d)
180π in3
20.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
21.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
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