1. **State the problem:** Albert's flour fills a cylindrical jar with diameter 4 inches and height 6 inches. We want to find which containers can hold the same volume of flour.
2. **Calculate the volume of Albert's jar:**
The volume $V$ of a cylinder is given by the formula:
$$V = \pi r^2 h$$
where $r$ is the radius and $h$ is the height.
Since the diameter is 4 inches, the radius is:
$$r = \frac{4}{2} = 2$$
So the volume is:
$$V = \pi \times 2^2 \times 6 = \pi \times 4 \times 6 = 24\pi$$ cubic inches.
3. **Check each container:**
- **Cylinder with radius 2 inches and height 6 inches:**
Volume is:
$$V = \pi \times 2^2 \times 6 = 24\pi$$ cubic inches.
This matches Albert's jar volume exactly.
- **Square prism with side length 4 inches and height 6 inches:**
Volume is:
$$V = \text{side}^2 \times h = 4^2 \times 6 = 16 \times 6 = 96$$ cubic inches.
Since $24\pi \approx 75.4$, $96 > 75.4$, so this container can hold all the flour.
- **Cone with diameter 4 inches and height 6 inches:**
Radius $r = \frac{4}{2} = 2$ inches.
Volume of a cone:
$$V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi \times 2^2 \times 6 = \frac{1}{3} \pi \times 4 \times 6 = 8\pi$$ cubic inches.
Since $8\pi \approx 25.1$, this is less than $24\pi$, so it cannot hold all the flour.
- **Sphere with diameter 4 inches:**
Radius $r = 2$ inches.
Volume of a sphere:
$$V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 2^3 = \frac{4}{3} \pi \times 8 = \frac{32}{3} \pi \approx 33.51$$ cubic inches.
Since $33.51 < 75.4$, it cannot hold all the flour.
4. **Final answer:**
The containers that can hold all the flour are:
- Cylinder with radius 2 inches and height 6 inches.
- Square prism with side length 4 inches and height 6 inches.
Container Volumes Fe3Fbe
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