Each solid in the image has height 6 units. The area of each solid's base is 10 square units. A cross section has been created in each by dilating the base using the apex as a center with scale factor k = 0.5. AAA B = 10 B= 10 B= 10 1. Calculate the area of each of the 3 cross sections. 2. Suppose a new cross section was created in each solid, all at the same height, using some scale factor. How would the areas of these 3 cross sections compare? Explain your reasoning. 3. What does this information about cross sections tell you about the volumes of the 3 solids? 4. Calculate the volume of each of the solids.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Each solid in the image has height 6 units. The area of each solid's base is 10 square units.
A cross section has been created in each by dilating the base using the apex as a center
with scale factor k = 0.5.
AAA
B= 10
B= 10
B= 10
1.
Calculate the area of each of the 3 cross sections.
2.
Suppose a new cross section was created in each solid, all at the same height, using
some scale factor. How would the areas of these 3 cross sections compare? Explain
your reasoning.
3.
What does this information about cross sections tell you about the volumes of the 3
solids?
4.
Calculate the volume of each of the solids.
Transcribed Image Text:Each solid in the image has height 6 units. The area of each solid's base is 10 square units. A cross section has been created in each by dilating the base using the apex as a center with scale factor k = 0.5. AAA B= 10 B= 10 B= 10 1. Calculate the area of each of the 3 cross sections. 2. Suppose a new cross section was created in each solid, all at the same height, using some scale factor. How would the areas of these 3 cross sections compare? Explain your reasoning. 3. What does this information about cross sections tell you about the volumes of the 3 solids? 4. Calculate the volume of each of the solids.
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