Respuesta :
so, the smallest candle has a radius r = 0.5 and a height of h = 3.
now, the other two candles in the set, are scaled of 2(twice as large) and of 3(thrice as large).
therefore, the candle scaled at 2 has a radius of 2*0.5 or 1, and a height of 2*3 or 6.
and the last candle in the set scaled t 3 has a radius of 3*0.5 or 1.5, and a height of 3*3, or 9
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\\\\ -------------------------------\\\\ \stackrel{r=0.5~~h=3}{\pi \cdot 0.5^2\cdot 3}~~~+~~~\stackrel{r=1~~h=6}{\pi \cdot 1^2\cdot 6}~~~+~~~\stackrel{r=1.5~~h=9}{\pi \cdot 1.5^2\cdot 9} \\\\\\ 0.75\pi ~~~+~~~6\pi ~~~+~~~20.25\pi \implies 27\pi [/tex]
now, the other two candles in the set, are scaled of 2(twice as large) and of 3(thrice as large).
therefore, the candle scaled at 2 has a radius of 2*0.5 or 1, and a height of 2*3 or 6.
and the last candle in the set scaled t 3 has a radius of 3*0.5 or 1.5, and a height of 3*3, or 9
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\\\\ -------------------------------\\\\ \stackrel{r=0.5~~h=3}{\pi \cdot 0.5^2\cdot 3}~~~+~~~\stackrel{r=1~~h=6}{\pi \cdot 1^2\cdot 6}~~~+~~~\stackrel{r=1.5~~h=9}{\pi \cdot 1.5^2\cdot 9} \\\\\\ 0.75\pi ~~~+~~~6\pi ~~~+~~~20.25\pi \implies 27\pi [/tex]