Math Problem Statement
What is the volume of this cone?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. Height is 5 radius is 4.4
Solution
To find the volume of a cone, we can use the formula:
Where:
- is the radius of the base
- is the height of the cone
Given:
Now, substitute the values into the formula:
First, calculate the square of the radius:
Now, calculate the volume:
So, the volume of the cone is approximately 101.16 cubic units.
Would you like more details on how I solved this, or do you have any questions?
Here are 5 related questions:
- How do you find the surface area of a cone?
- What is the formula to calculate the volume of a cylinder?
- How would the volume change if the height was doubled?
- What is the effect of increasing the radius on the volume of a cone?
- Can you calculate the volume if the cone had a different value for pi, like 3.1416?
Tip: Always square the radius before multiplying with other values in the volume formula!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Volume of a Cone
Pi Approximation
Formulas
V = (1/3) * π * r^2 * h
Theorems
-
Suitable Grade Level
Grades 6-8