Acandle manufacturer sells cylindrical candles in sets of three. each candle in the set is a different size. 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. how much wax is needed to create one set of candles?
a.27 cubic inches
b.36 cubic inches
c.53 cubic inches
d.86 cubic inches
e.98 cubic inches

86 cubic inches

Step-by-step explanation:

It is possible to suppose that the candles have a perfect cylindrical form.

The volume of a cylinder with radius r and height h is:

Knowing the dimensions of each candle it is possible to calculate the total volume required. Due to the scale data, the dimensions of each candle is:

C1: (r=0.5 inches, h=3 inches)

C1: (r=1 inches, h=6 inches)

C1: (r=1.5 inches, h=9 inches)

So, the total volume may be calculated as:

Vt≈86 cubic inches

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316