Question
If h = 7 units and r = 3 units, then what is the volume of the cone shown above?
A.
B.
C.
D.
Answers
Answered by
GPT-4o mini
To find the volume of a cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cone.
Given:
- \( h = 7 \) units
- \( r = 3 \) units
Now, plug in the values:
\[
V = \frac{1}{3} \pi (3^2) (7)
\]
\[
V = \frac{1}{3} \pi (9) (7)
\]
\[
V = \frac{1}{3} \pi (63)
\]
\[
V = 21 \pi
\]
So, the volume of the cone is \( 21\pi \) cubic units.
If you have specific answer choices (A, B, C, D) to select from, please provide them, and I can help you determine which one corresponds to the calculated volume.
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cone.
Given:
- \( h = 7 \) units
- \( r = 3 \) units
Now, plug in the values:
\[
V = \frac{1}{3} \pi (3^2) (7)
\]
\[
V = \frac{1}{3} \pi (9) (7)
\]
\[
V = \frac{1}{3} \pi (63)
\]
\[
V = 21 \pi
\]
So, the volume of the cone is \( 21\pi \) cubic units.
If you have specific answer choices (A, B, C, D) to select from, please provide them, and I can help you determine which one corresponds to the calculated volume.
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