Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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13.3 #5

of an ice cream cone (the circular he
ice cream) is m 12 in2, about 3.14 in2. According to
the volume formula for cones, the volume of an ice
cream cone is .4.5-3.14 in, about 4.7 in. Since
each fluid ounce is 1.8 in3, the number of fluid ounces
the cone holds is the number of 1.8 in in 4.7 in
which is 4.7 1.8, about 2.6 fluid ounces
b. Describe a hands-on activity that could help
students understand the distinction between
surface area and volume.
5. In your own words, explain why the volume
(height)-(area of the base) formula is valid for
right prisms using the example of a prism that is
5 cm high and that has a base of area 8 cm2
6. Discuss how to use blocks to explain why the
(height).(area of base) formula for
the volume of a prism is true (for the case of right
prisms where the height and area of the base are
whole numbers). In your explanation, be sure to at-
tend to the meaning of multiplication, the meaning
of volume, and the units you are using.
volume
7. A cylindrical container has a base that is a circle
of diameter 8 cm. When the container is filled
with 250 mL of liquid, the container becomes
full. How tall is the container? Explain your
reasoning.
8. One liter of water is in a cylindrical container.
The water is poured into a second cylindrical
container whose radius is the radius of the first
container. Describe how the water level in the
second container compares to the water level in
the first container. Be specific and explain your
reasoning
9. a. Measure how fast water comes out of some fau-
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Transcribed Image Text:of an ice cream cone (the circular he ice cream) is m 12 in2, about 3.14 in2. According to the volume formula for cones, the volume of an ice cream cone is .4.5-3.14 in, about 4.7 in. Since each fluid ounce is 1.8 in3, the number of fluid ounces the cone holds is the number of 1.8 in in 4.7 in which is 4.7 1.8, about 2.6 fluid ounces b. Describe a hands-on activity that could help students understand the distinction between surface area and volume. 5. In your own words, explain why the volume (height)-(area of the base) formula is valid for right prisms using the example of a prism that is 5 cm high and that has a base of area 8 cm2 6. Discuss how to use blocks to explain why the (height).(area of base) formula for the volume of a prism is true (for the case of right prisms where the height and area of the base are whole numbers). In your explanation, be sure to at- tend to the meaning of multiplication, the meaning of volume, and the units you are using. volume 7. A cylindrical container has a base that is a circle of diameter 8 cm. When the container is filled with 250 mL of liquid, the container becomes full. How tall is the container? Explain your reasoning. 8. One liter of water is in a cylindrical container. The water is poured into a second cylindrical container whose radius is the radius of the first container. Describe how the water level in the second container compares to the water level in the first container. Be specific and explain your reasoning 9. a. Measure how fast water comes out of some fau-
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