Math Problem Statement
The radius, R, of a sphere is 7.9 mm. Calculate the sphere's volume, V. Use the value 3.14 for π, and round your answer to the nearest tenth.
Solution
To solve for the volume of a sphere, we can use the formula:
Given:
- Radius
Let's calculate the volume using these values.
I will now compute it.The volume of the sphere is approximately , rounded to the nearest tenth.
Do you have any questions, or would you like further details on the solution?
Here are 5 related questions to expand your understanding:
- How does changing the radius affect the volume of a sphere?
- What would be the volume if the radius were doubled?
- Can you derive the formula for the surface area of a sphere?
- How does the use of a more accurate value for (e.g., 3.14159) affect the calculation?
- What is the relationship between the volume of a sphere and the volume of a cylinder with the same radius and height?
Tip: When solving geometry problems involving , keeping more digits for intermediate steps can improve accuracy in final answers.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of a Sphere
Formulas
V = (4/3)πR³
Theorems
Volume of a sphere
Suitable Grade Level
Grades 7-10