Concept explainers
a.
To find how much wax is used in each candle
a.
Answer to Problem 15E
1809 ft3
Explanation of Solution
Given information:
Diameter( d ) of the red candle is 3 inches
Height( h ) of the red candle is 6 inches
Diameter( d ) of the blue candle is 3 inches
Height( h ) of the blue candle is 9 inches
Diameter( d ) of the green candle is 4 inches
Height( h ) of the green candle is 4 inches
Formula used:
Volume( V ) of the cylinder =
Calculation:
Diameter of the base, d=2r
Then Radius,
for red candle
for blue candle
for green candle
Substituting value of Radius ( r ) and Height( h ) of respective candle in formula,
For red candle:
Square of 1.5 is 2.25
Value of pi upto 2 decimal points is 3.14
On solving,
in3
For blue candle:
Square of 1.5 is 2.25
Value of pi upto 2 decimal points is 3.14
On solving,
in3
For green candle:
Square of 2 is 4
Value of pi upto 2 decimal points is 3.14
On solving,
in3
Hence, wax used in red, blue and green candle is 42.39 in3 , 63.58 in3 and 50.24 in3 in respective candle.
b.
To find ratio of cost of candle to volume of wax used in candle
b.
Answer to Problem 15E
For red candle- 1:6
For blue candle- 1:8
For green candle- 1:5
Explanation of Solution
Given information:
The cost of red candle is $7.05
The cost of blue candle is $7.80
The cost of green candle is $10.55
Calculated volume
=42.39 in3 For red candle
=63.58 in3 For blue candle
=50.24 in3 For green candle
Calculation:
Cost to volume ratio for red candle,
Cost to volume ratio for blue candle,
Cost to volume ratio for green candle,
c.
To find which candle is the best buy
c.
Answer to Problem 15E
Blue Candle
Explanation of Solution
Given Information:
The cost to volume ratio,
For red candle
For blue candle
For green candle
Calculation:
Blue candle is best buy because cost to volume ratio is
which mean in 1$ person can buy 8 in3 wax.
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