Question
The volume of this cone is 103.62 cubic millimeters. What is the height of this cone?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
3 mm
h ≈
millimeters
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
3 mm
h ≈
millimeters
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the height of the cone, we can use the formula for the volume of a cone:
\[
V = \frac{1}{3} \pi r^2 h
\]
Given that the volume \( V = 103.62 \) cubic millimeters and that \( \pi \approx 3.14 \), we can set up the equation. However, we first need to know the radius \( r \) of the cone to find its height \( h \). Since the radius is not provided in your query, please provide the radius or any additional information necessary to calculate the height.
If the radius is known, you can isolate \( h \) in the volume formula:
\[
h = \frac{3V}{\pi r^2}
\]
With the values substituted, you can solve for \( h \). Please provide the radius to proceed!
\[
V = \frac{1}{3} \pi r^2 h
\]
Given that the volume \( V = 103.62 \) cubic millimeters and that \( \pi \approx 3.14 \), we can set up the equation. However, we first need to know the radius \( r \) of the cone to find its height \( h \). Since the radius is not provided in your query, please provide the radius or any additional information necessary to calculate the height.
If the radius is known, you can isolate \( h \) in the volume formula:
\[
h = \frac{3V}{\pi r^2}
\]
With the values substituted, you can solve for \( h \). Please provide the radius to proceed!
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