교과서 질문
Explain why most endotherms are homeothermic and most ectotherms are poikilothermic.
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Ch. 39 - Animal Form and Function
Freeman8th EditionBiological ScienceISBN: 9780138276263
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TOC.tableOfContents
- Ch. 1 - Biology: The Study of Life13
- Ch. 2 - Water and Carbon: The Chemical Basis of Life14
- Ch.3 - Protein Structure and Function10
- Ch.4 - Nucleic Acids and the RNA World10
- Ch. 5 - An Introduction to Carbohydrates10
- Ch. 6 - Lipids, Membranes, and the First Cells11
- Ch. 7 - Inside the Cell10
- Ch. 8 - Energy and Enzymes: An Introduction to Metabolism10
- Ch. 9 - Cellular Respiration and Fermentation11
- Ch. 10 - Photosynthesis12
- Ch. 11 - Cell-Cell Interactions12
- Ch. 12 - The Cell Cycle8
- Ch. 13 - Meiosis12
- Ch. 14 - Mendel and the Gene23
- Ch. 15 - DNA and the Gene: Synthesis and Repair15
- Ch. 16 - How Genes Work16
- Ch. 17 - Transcription, RNA Processing, and Translation16
- Ch. 18 - Control of Gene Expression in Bacteria16
- Ch. 19 - Control of Gene Expression in Eukaryotes12
- Ch. 20 - The Molecular Revolution: Biotechnology, Genomics, and New Frontiers15
- Ch. 21 - Genes, Development, and Evolution12
- Ch. 22 - Evolution by Natural Selection16
- Ch. 23 - Evolutionary Processes13
- Ch. 24 - Speciation15
- Ch. 25 - Phylogenies and the History of Life13
- Ch. 26 - Bacteria and Archaea15
- Ch. 27 - Diversification of Eukaryotes16
- Ch. 28 - Green Algae and Land Plants16
- Ch. 29 - Fungi18
- Ch. 30 - An Introduction to Animals9
- Ch. 31 - Protostome Animals15
- Ch. 32 - Deuterostome Animals17
- Ch. 33 - Viruses16
- Ch. 34 - Plant Form and Function16
- Ch. 35 - Water and Sugar Transport in Plants16
- Ch. 36 - Plant Nutrition13
- Ch. 37 - Plant Sensory Systems, Signals, and Responses16
- Ch. 38 - Flowering Plant Reproduction and Development16
- Ch. 39 - Animal Form and Function17
- Ch. 40 - Water and Electrolyte Balance in Animals16
- Ch. 41 - Animal Nutrition16
- Ch. 42 - Gas Exchange and Circulation16
- Ch. 43 - Animal Nervous Systems16
- Ch. 44 - Animal Sensory Systems16
- Ch. 45 - Animal Movement11
- Ch. 46 - Chemical Signals in Animals16
- Ch. 47 - Animal Reproduction and Development16
- Ch. 48 - The Immune System in Animals16
- Ch. 49 - An Introduction to Ecology15
- Ch. 50 - Behavioral Ecology16
- Ch. 51 - Population Ecology16
- Ch. 52 - Community Ecology20
- Ch. 53 - Ecosystems and Global Ecology17
- Ch. 54 - Biodiversity and Conservation Ecology18
39장, 문제 8a
Consider three spheres with radii of 1 cm, 5 cm, and 10 cm.
Calculate the surface area and the volume of each sphere, and plot the results on a graph with radius on the x-axis and surface area and volume on the y-axis. (Surface area of a sphere = 4πr2; volume of a sphere = (4/3)πr3.)
Explain how the graph shows the relationship between size and surface area to volume ratio.
검증된 단계별 안내1
Step 1: Write down the formulas for the surface area and volume of a sphere. The surface area (A) is given by , and the volume (V) is given by , where r is the radius of the sphere.
Step 2: Substitute the given radii (1 cm, 5 cm, and 10 cm) into the formulas for surface area and volume. For each radius, calculate the surface area using and the volume using . Write down the expressions for each calculation.
Step 3: Create a table to organize the results. The table should have three columns: radius (r), surface area (A), and volume (V). Fill in the table with the calculated values for each radius.
Step 4: Plot the results on a graph. Use the radius (r) as the x-axis and plot two separate curves on the y-axis: one for surface area (A) and one for volume (V). Ensure the graph is labeled appropriately, with a legend to distinguish between the two curves.
Step 5: Analyze the graph to explain the relationship between size and the surface area-to-volume ratio. Note that as the radius increases, the surface area and volume both increase, but the volume grows faster than the surface area. This is because volume is proportional to the cube of the radius (), while surface area is proportional to the square of the radius (). Discuss how this affects biological systems, such as the efficiency of nutrient exchange in cells.
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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
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주요 개념
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Surface Area and Volume Formulas
The surface area and volume of a sphere are calculated using specific mathematical formulas: the surface area is given by 4πr², and the volume is calculated as (4/3)πr³. These formulas highlight how both surface area and volume increase with the radius of the sphere, but at different rates, which is crucial for understanding their relationship.
추천 영상:
07:47
Surface Area to Volume Ratio
Surface Area to Volume Ratio
The surface area to volume ratio (SA:V) is a critical concept in biology and physics, representing how much surface area is available for exchange relative to the volume of an object. As the size of a sphere increases, its volume grows faster than its surface area, leading to a decrease in the SA:V ratio, which can impact processes like diffusion and heat exchange in biological systems.
추천 영상:
07:47Surface Area to Volume Ratio
Graphical Representation of Data
Plotting the surface area and volume against the radius on a graph allows for visual analysis of the relationship between these variables. The graph typically shows that while both surface area and volume increase with radius, the volume increases at a faster rate, illustrating the diminishing surface area to volume ratio as the size of the sphere increases.
추천 영상:
03:15Survivorship
관련 실천
교과서 질문
Explain why it would be impossible for a gorilla the size of King Kong to have fur. (Your answer should explain how the surface area to volume ratio of a normal-sized gorilla would compare to Kong's; relate this to the role of surface area and volume in heat generation and heat transfer, and consider the function of fur.)
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교과서 질문
The dinosaur Apatosaurus (Brontosaurus) is one of the largest terrestrial animals that ever lived—over 20 m in length and weighing over 20 metric tons. Is it more likely that Apatosaurus was homeothermic or poikilothermic? Explain.
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교과서 질문
The metabolic rate of a frog in summer (at 35°C) is about eight times higher than in winter (at 5°C). Compare and contrast the frog's ability to move, exchange gases, and digest food at the two temperatures.
During which season will the frog require more food energy, and why?
849
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교과서 질문
Many species of animals on islands are larger than related species on the mainland. Scientists hypothesize that this phenomenon, called island gigantism, evolved in response to the scarcity of competitors and predators on islands. Reduced competition and predation allow species to exploit more resources and free them from the need to hide in small refuges. The graph shown here compares the average carapace (shell) length of mainland and island tortoises. Summarize the results, then use the data to predict whether the surface area to volume ratio is higher in mainland or island tortoises.
638
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