Volume - Cylinders, Cones, Spheres NamC¡ 5cm

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Volume
1.
- Cylinders,
Cones,
Spheres
Nam C¡
What is the volume of the cylinder below? Show your work.
5cm
Formula for volume of a cylinder
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Volume =
2. Michael has a barrel in the pasture to keep water for his horse. The
barrel is four feet tall with a diameter of 2 feet.
What is the volume of the barrel? Show your work
How many gallons of water will the barrel
Copyright @ 2012 Hilda Ratliff
hold? I ft3 = 7.5 gal
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Volume
3
a
The radius of the cone is 6 meters and the height is 11 meters. what
is the volume of the cone? Show your work.
If the radius of the cone is doubled hqW w_o_U.ld the
volum_e__çha"nge_?_
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A. The volume would double.
B. The volume would be multiplied by 4.
C. The volume would be multiplied by 6.
D. The volume would be multiplied by 12.
Explain your reasoning.
4. Volume of a sphere =
Show your work.
diameter = 10 feet
Copyright @ 2012 Hìlda Rattif
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What is the volume of the sphere below?
5. The radius of the sun is approximately 700,000 kilometers.
What is the volume of the sun?
6. An ice cream cone has a diameter of 3 inches, The distance from the
top of the cone to the point at the bottom (height) is 5 inches.
How many cubic inches of ice cream will the cone hold?
Copyrighl
@ 2012 H¡lda
Ratlilf
Name
Date
Write the correct answer.
1. Each ofthe cone-shaped cups near the
water cooler has a radius of 3 centimeters
and a height of 10 centimeters. lf 1 cubic
centimeter can hold 1 milliliter of liquid, how
much water can each cup hold?
Class
2. The Great Pyramid in Egypt has a square
base that measures 75'1 feet on each side
The pyramid is 481 feet high. What is the
volume of the Great Pyramid? Round your
answer to the nearest cubic foot.
3. A waffle cone that holds ice cream is 15
centimeters high and has a diameter of 10
centimeters. What volume of ice cream can it
hold if it is filled to the top?
4. The base of a rectangular prism is congruent
5. A teepee that is shaped like a cone has a
diameter of 12feet and a height of 15 feet.
What is the volume of the teepee?
6. The top of a 44-story office building is
shaped like a pyramid. The base of the
pyramid is a right triangle with the two legs
measuring 73 feet and 78 feet. The pyramid
is 35 feet high. What is the volume of the
to the base of a pyramid. The height of the
pyramid is 3 times the height of the prism.
Which figure has a greater volume? Explain.
pyramid?
7. The diameter of a cone-shaped container is
4 inches. lts height is 6 inches. How much
greater is the volume of a cylinder-shaped
container with the same diameter
and height?
L
A square pyramid mold for a candle has a
base of 64 square centimeters and a height
of 12 centimeters. How much greater is the
volume of a rectangular prism mold with the