Math Problem Statement
What is the volume of this right cone?
Responses
40π cm³
40 pi cm³
300π cm³
300 pi cm³
400π cm³
400 pi cm³
480π cm³
480 pi cm³
NOTE: Image is not drawn to scale.
Solution
To determine the volume of a right cone, use the formula:
Where:
- is the volume,
- is the radius of the base,
- is the height of the cone.
Steps to Solve:
-
Identify the radius () and the height () from the problem statement or diagram.
- Since no image was provided here, I would need the values for and to proceed.
-
Substitute the values into the formula.
-
Simplify to find the volume.
Can you provide the radius and height of the cone? Alternatively, upload an image or share the measurements. 😊
Related Questions:
- What happens to the volume if the radius doubles while keeping the height constant?
- How do you find the slant height of the cone if the radius and height are known?
- What is the surface area formula of a right cone?
- How does the cone's volume compare to the volume of a cylinder with the same base and height?
- How is the formula for the volume of a cone derived?
Tip:
Always ensure units match when substituting into volume formulas (e.g., cm for radius and height).
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Conic Sections
Formulas
V = (1/3)πr²h
Theorems
Volume formula for a cone
Suitable Grade Level
Grades 8-10