To find the volume of a cone, we can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is a constant (approximately 3.14 in this case).
Given:
- Diameter = 2 cm, which means radius \( r = \frac{2}{2} = 1 \) cm
- Height \( h = 6 \) cm
Now substituting the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \]
Calculating this step by step:
-
Calculate \( r^2 \): \[ (1)^2 = 1 \]
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Plug in the values: \[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \]
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Calculate \( 3.14 \times 1 \times 6 \): \[ 3.14 \times 6 = 18.84 \]
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Now, calculate \( \frac{1}{3} \times 18.84 \): \[ \frac{18.84}{3} = 6.28 \]
Thus, the volume of the chocolate cone is \( 6.28 \) cubic centimeters.
The correct response is: \[ \text{6.28 cubic centimeters} \]