1. **State the problem:**
Krystal wants to fill 6 spherical ornaments with glitter. Each ornament is a sphere with a diameter of 3 inches. We need to find the total volume of glitter required to fill all 6 ornaments.
2. **Formula for the volume of a sphere:**
$$V = \frac{4}{3} \pi r^3$$
where $r$ is the radius of the sphere.
3. **Calculate the radius:**
The diameter is 3 inches, so the radius is:
$$r = \frac{3}{2} = 1.5 \text{ inches}$$
4. **Calculate the volume of one ornament:**
Using $\pi = 3$ as given,
$$V = \frac{4}{3} \times 3 \times (1.5)^3$$
5. **Simplify the expression:**
$$V = \cancel{\frac{4}{3}} \times \cancel{3} \times (1.5)^3 = 4 \times (1.5)^3$$
6. **Calculate $1.5^3$:**
$$1.5^3 = 1.5 \times 1.5 \times 1.5 = 3.375$$
7. **Calculate the volume of one ornament:**
$$V = 4 \times 3.375 = 13.5 \text{ cubic inches}$$
8. **Calculate the total volume for 6 ornaments:**
$$6 \times 13.5 = 81 \text{ cubic inches}$$
**Final answer:** Krystal needs **81 cubic inches** of glitter to fill all 6 ornaments.
Ornament Volume C4D007
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