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

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,

                        .................................(1)

               Where, r - Radius of cylinder

                           h - Height of cylinder

Step: 2

              For the Candle mold,

                         Diameter, D = 3 inches

                              Radius, r =

                                              = = 1.5

                                            r = 1.5 inches

              Equation (1) becomes,

                                           = (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,

                                           = (3.1415)(0.25)(1.5)

                                           = 1.1780625 cubic inches

Step: 4

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

                                                     =  

                                                     =

                                                     = 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.

step-by-step explanation:

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)