Mathematics, 10.08.2019 00:30 natalee24
Acylindrical water tank's height is 48 feet and the diameter is 30 feet. considering that 1 cubic yard = 202 gallons, how many gallons are in the tank when filled to capacity?
Answers: 2
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h \begin{cases} r=&radius\\ h=&height\\ \cline{1-2} r=&15~ft\\ &5~yd\\ h=&48~ft\\ &16~yd \end{cases}\implies V=\pi (5)^2(16)\implies V=400\pi ~yd^3 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} yd^3&gallons\\ \cline{1-2} 1&202\\ 400\pi &x \end{array}\implies \cfrac{1}{400\pi }=\cfrac{202}{x}\\\\\\ x=(400\pi )(202)\implies x\approx 253840.69](/tpl/images/0173/9793/b1653.png)
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Acylindrical water tank's height is 48 feet and the diameter is 30 feet. considering that 1 cubic ya...
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