48 (option B) votive candles are needed to fill the candle mold, If she would like to melt votive candles and reuse the wax.
Step-by-step 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,
[tex]Volume, V = \pi r^{2} h[/tex].................................(1)
Where, r - Radius of cylinder
h - Height of cylinder
[tex]\pi = 3.1415[/tex]
Step: 2
For the Candle mold,
Diameter, D = 3 inches
Radius, r = [tex]\frac{d}{2}[/tex]
= [tex]\frac{3}{2}[/tex] = 1.5
r = 1.5 inches
Equation (1) becomes,
[tex]V_{Candle mold} = \pi (1.5)^{2} (8)[/tex]
= (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,
[tex]V_{Candle mold} = \pi (0.5)^{2} (1.5)[/tex]
= (3.1415)(0.25)(1.5)
= 1.1780625 cubic inches
Step: 4
No. of votive candles are needed to fill the candle mold,
= [tex]\frac{Volume_{candle mold} }{Volume _{Votive candles} }[/tex]
= [tex]\frac{56.547}{1.1780625}[/tex]
= 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.
