1. **State the problem:**
We need to find the total volume of 8 hemisphere-shaped portions of ice cream, each with a diameter of 6 cm.
2. **Identify the formula:**
The volume of a hemisphere is given by the formula:
$$V = \frac{2}{3} \pi r^3$$
where $r$ is the radius of the hemisphere.
3. **Calculate the radius:**
Given diameter $d = 6$ cm, the radius is:
$$r = \frac{d}{2} = \frac{6}{2} = 3 \text{ cm}$$
4. **Calculate the volume of one hemisphere:**
Substitute $r = 3$ cm into the volume formula:
$$V = \frac{2}{3} \pi (3)^3 = \frac{2}{3} \pi \times 27 = 18 \pi \text{ cm}^3$$
5. **Calculate the total volume for 8 hemispheres:**
Multiply the volume of one hemisphere by 8:
$$V_{total} = 8 \times 18 \pi = 144 \pi \text{ cm}^3$$
6. **Approximate the total volume:**
Using $\pi \approx 3.1416$:
$$V_{total} \approx 144 \times 3.1416 = 451.39 \text{ cm}^3$$
**Final answer:**
The total volume of ice cream on the cone is approximately $451.39$ cubic centimeters.
Ice Cream Volume Cf51Df
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