Question

6. ACT/SAT Tara has a cylindrical candle mold that is 8 inches high with a diameter of

3 inches. She would like to melt votive candles and reuse the wax. Each votive
candle is a sylinder with a height or 1.5 inches and a radius of 0.5 inch. How many
votive candles are needed to fill the candle mold?
Bin.
A. 12
B. 48
C. 57
D. 192
E. 226

Answer 1

48 (option B) votive candles are needed to fill the candle mold, If she would like to melt votive candles and reuse the wax.

Explanation:

The given is,

Cylindrical candle mold that is 8 inches high with a diameter of 3 inches.

Votive candle is a sylinder with a height or 1.5 inches and a radius of 0.5 inch.

Step: 1

Formula to calculate the volume of cylinder,

`Volume, V = \pi r^(2) h`.................................(1)

Where, r - Radius of cylinder

h - Height of cylinder

`\pi = 3.1415`

Step: 2

For the Candle mold,

Diameter, D = 3 inches

Radius, r =
`(d)/(2)`

=
`(3)/(2)` = 1.5

r = 1.5 inches

Equation (1) becomes,

`V_(Candle mold) = \pi (1.5)^(2) (8)`

= (3.1415)(2.25)(8)

= 56.547 cubic inches

Step: 3

For the Votive candle,

r = 0.5 inches

h = 1.5 inches

Equation (1) becomes,

`V_(Candle mold) = \pi (0.5)^(2) (1.5)`

= (3.1415)(0.25)(1.5)

= 1.1780625 cubic inches

Step: 4

No. of votive candles are needed to fill the candle mold,

=
`(Volume_(candle mold) )/(Volume _(Votive candles) )`

=
`(56.547)/(1.1780625)`

= 48

No. of votive candles are needed to fill the candle mold = 48

Result:

48 (option B) votive candles are needed to fill the candle mold, If she would like to melt votive candles and reuse the wax.