Given:
The lightsaber is filled with full of confetti.
The lightsaber:
[tex]\begin{gathered} h=30in \\ d=2.5in \end{gathered}[/tex]
The confetti bag is 10oz.
To find:
The number of bags of confetti.
Explanation:
The radius of the lightsaber is,
[tex]r=\frac{d}{2}=\frac{2.5}{2}=1.25in[/tex]
The volume of the lightsaber is,
[tex]\begin{gathered} V=\pi r^2h \\ =\frac{22}{7}\times1.25^2\times30 \\ V=147.32in^3 \end{gathered}[/tex]
In oz,
[tex]\begin{gathered} V=\frac{147.32}{1.804} \\ V=81.66oz \end{gathered}[/tex]
So, the number of bags will be,
[tex]\begin{gathered} n=\frac{Volume\text{ }of\text{ }lightsaber}{Volume\text{ of a bag}} \\ =\frac{81.66}{10} \\ =8.166 \\ \approx8bags \end{gathered}[/tex]
The number of bags required is 8.
Final answer:
The volume of the lightsaber is 81.66 ounces.
The number of bags required is 8.
