Answer:
Amount of wax required = 508.93 cubic inches
Step-by-step explanation:
Volume = Base area x Height.
The smallest candle has a radius of 0.5 inches and a height of 3 inches.
The other two candles are scaled versions of the smallest, with scale factors of 2 and 3
Radius of other candles = 0.5 x 2 and 0.5 x 3
= 1 inch and 1.5 inch
Height of other candles = 3 x 2 and 3 x 3
= 6 inch and 9 inch
Base area of cylinder
\(A = \pi \: {r}^{2}\)
Volume of candles
\(V=\pi r_1^2h_1+\pi r_2^2h_2+\pi r_3^2h_3\\\\V=\pi \times 0.5^2\times 3+\pi \times 1^2\times 6+\pi \times 1.5^2\times 9=503.98inch^3 \\\)
Amount of wax required = 508.93 cubic inches
