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Exemplo 9.51 de Prealgebra, 9.6 Solve Geometry Applications: Volume and Surface Area
Problema e solução em inglês, como no livro original.
A sphere has a radius inches. Find its ⓐ volume and ⓑ surface area.
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
Step 1 is the same for both ⓐ and ⓑ, so we will show it just once.
| Step 1. Read the problem. Draw the figure and label it with the given information. |
| ⓐ | |
| Step 2. Identify what you are looking for. | the volume of the sphere |
| Step 3. Name. Choose a variable to represent it. | let V = volume |
| Step 4. Translate. Write the appropriate formula. |
|
| Step 5. Solve. | |
| Step 6. Check: Double-check your math on a calculator. | |
| Step 7. Answer the question. | The volume is approximately 904.32 cubic inches. |
| ⓑ | |
| Step 2. Identify what you are looking for. | the surface area of the cube |
| Step 3. Name. Choose a variable to represent it. | let S = surface area |
| Step 4. Translate. Write the appropriate formula. |
|
| Step 5. Solve. | |
| Step 6. Check: Double-check your math on a calculator | |
| Step 7. Answer the question. | The surface area is approximately 452.16 square inches. |
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
Find the ⓐ volume and ⓑ surface area of a sphere with radius 3 centimeters.
Como foi?