Mathematics, 31.12.2019 17:31 fatty18
Acandle maker has 301.59 cubic centimeters (cm3) of liquid wax to make cone shaped candles. each candle has a circular base with a diameter of 3 cm and a height of 5 cm. what is the maximum number candles that can be made from the liquid wax?
a. 6
b. 7
c. 25
d. 26
Answers: 1
![\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=5 \end{cases}\implies V=\cfrac{\pi (1.5)^2(5)}{3}\implies V=\cfrac{11.25\pi }{3} \\\\\\ V= 3.75\pi \implies V\approx 11.78~cm^3\qquad \leftarrow \textit{for one candle} \\\\\\ \stackrel{\textit{how many times does 11.78 go into 301.59?}}{301.59\div 11.78\implies 26}\qquad \leftarrow \textit{rounded up}](/tpl/images/0438/4838/c0660.png)
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Acandle maker has 301.59 cubic centimeters (cm3) of liquid wax to make cone shaped candles. each can...
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