Question

A candle 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?

Answer 1

Can you find the volume of the smallest candle?

Answer 2

2.3562 for the smallest candle

Answer 3

That is correct.

Answer 4

Now this is important:

Answer 5

The relationship between the volumes is the CUBE of the scale factor.

Answer 6

So the volume of the middle sized candle is 2^3 or 8 times the volume of the small candle.

Answer 7

confused...

so if I multiply 2.3562 x 8 that should be my answer.?

Answer 8

That would be the volume of the second candle. What is the volume of the second candle?

Answer 9

18.8496..?

Answer 10

Yes.

Answer 11

And what is 3^3?

Answer 12

I times it by 8 again?

Answer 13

What is 3^3?

Answer 14

84.823..?

Answer 15

3^3 is 27 so the big candle is 27 times the little candle

Answer 16

Add the three volumes to find the amount of wax needed.

Answer 17

3x3x3=9x3=27

Answer 18

I didn't get one of my answer choices ... I keep coming up with 84.8232

Answer 19

27 cubic inches

36 cubic inches

53 cubic inches

86 cubic inches

98 cubic inches

and those are my choices

Answer 20

Then I would pick 86 because the difference is probably in the rounding.

Answer 21

thanks

Answer 22

yw