Question
[This is the stem.] Use the image to answer the question. 6 of 15 2 in. 6 in. Anders finds the volume of the cone in the image. What is the volume of this cone in cubic inches? Use 3.14 to represent pi and round the volume to the nearest cubic inch. (1 point) 25 cubic inches 24 cubic inches 75 cubic inches 13 cubic inches
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,
- \( h \) is the height of the cone.
From your description, it seems that the cone has:
- a height \( h = 6 \) inches,
- a diameter of \( 2 \) inches, which means the radius \( r = \frac{2}{2} = 1 \) inch.
Now, plug these values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6
\]
Calculating this step-by-step:
1. Calculate \( (1)^2 = 1 \).
2. Then calculate \( 3.14 \times 1 \times 6 = 18.84 \).
3. Finally, calculate \( \frac{1}{3} \times 18.84 \approx 6.28 \).
After calculating \( 6.28 \), the volume to the nearest cubic inch becomes \( 6 \) cubic inches.
However, this value doesn’t match the provided options. Please check the dimensions and then verify, as I made calculations based on the provided values. If the height or diameter is incorrect, please provide the right information.
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cone.
From your description, it seems that the cone has:
- a height \( h = 6 \) inches,
- a diameter of \( 2 \) inches, which means the radius \( r = \frac{2}{2} = 1 \) inch.
Now, plug these values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6
\]
Calculating this step-by-step:
1. Calculate \( (1)^2 = 1 \).
2. Then calculate \( 3.14 \times 1 \times 6 = 18.84 \).
3. Finally, calculate \( \frac{1}{3} \times 18.84 \approx 6.28 \).
After calculating \( 6.28 \), the volume to the nearest cubic inch becomes \( 6 \) cubic inches.
However, this value doesn’t match the provided options. Please check the dimensions and then verify, as I made calculations based on the provided values. If the height or diameter is incorrect, please provide the right information.
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