Mathematics, 16.04.2020 22:37 cherryy

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

Answers: 3

Show answers

Answers

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,

$Volume, V = \pi r^{2} h$ .................................(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 = $\frac{d}{2}$

= $\frac{3}{2}$ = 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,

= $\frac{Volume_{candle mold} }{Volume _{Votive candles} }$

= $\frac{56.547}{1.1780625}$

= 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.

Answer from: Quest

answer: hey there,

the answer you are looking for is a..

hope this you!

Answer from: Quest

$m< xyz=\frac{1}{2}(a-b)$

$m< xoy=b$

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

$m< xyz=\frac{1}{2}(mayor\ arc\ xy-minor\ arc\ xy)$

substitute the values

$m< xyz=\frac{1}{2}(a-b)$

the measure of angle xoy is equal to

$m< xoy=minor\ arc\ xy$ > by central angle

substitute the value

$m< xoy=b$

Which equation is correct regarding the diagram of circle o? a) m∠xzy = (a + b)b) m∠xzy = (a – b)c)

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