ylinders, cone Justin uses the mold picture cement column posts to use a height of the Cylinder = 18 in To make a post, Justin completel wet cement How much wet cement, in cubic inche make 4 posts? dus 3 in Formula Sheet

Respuesta :

[tex]\begin{gathered} \text{Volume for 1 post= }Volume\text{ of cone + Volume of Cylinder} \\ Volume\text{ of cone= }\frac{\pi r^2h}{3} \\ r=\text{ }3in \\ h_{cone}=3in \\ Volume\text{ of cone= }\frac{\pi(3)^2(3)}{3}=\frac{\pi(9)(3)}{3}=\frac{27\pi}{3}=9\pi \\ Volume\text{ of cone is }9\pi in^3 \\ \text{Volume of Cylinder=}\pi r^2h \\ r=\text{ }3in \\ h_{CylInder}=18\text{ in} \\ \text{Volume of Cylinder=}\pi(3)^2\cdot(18) \\ \text{Volume of Cylinder=}\pi(3)^2\cdot(18)=162\pi \\ Volume\text{ of Cylinder is 162}\pi in^3 \\ \\ \text{Volume for 1 post= }9\pi in^3\text{ + 162}\pi in^3 \\ \text{Volume for 1 post= }171\pi in^3 \\ \text{Volume for 4 post=4}\cdot(171\pi in^3) \\ \text{Volume for 4 post=684}\pi in^3 \\ \text{Volume for 4 post=2,148.85}in^3 \\ \text{Justin n}eeds\text{ 2,148.85}in^3of\text{ wet cement to }make\text{ 4 posts} \end{gathered}[/tex]