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:
- Calculate \( (1)^2 = 1 \).
- Then calculate \( 3.14 \times 1 \times 6 = 18.84 \).
- 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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