We calculate for the volumes of each of the wax needed for the candles through the equations presented below.
For cylinder:
V = πr²h
where V is volume, r is radius and h is height.
Substituting the known values,
V = (3.14)(3 in)²(6 in)
V = 169.56 in³
For sphere:
V = 4πr³/3
Substituting the known values,
V = 4(3.14)(3 in)³ / 3 = 113.04 in³
The difference between the two volumes,
difference of volumes = 169.56 in³ - 113.04 in³
<em>difference of volumes = 56.52 in³</em>
Thus, the answer to this item is the last choice.
Based on the operation in step 3, the mathematical reasoning that we see is the Associative property.
<h3 /><h3>What is the reasoning in step 3?</h3>
Step 2 was:
= 3/4x (-8x) + (3/4x) (6)
Step 3 then became:
3/4 x (-8) × x × x + 3/4 x 6x
This shows the associative property because the numbers were regrouped but because they are being multiplied by each other, the result will not change.
Find out more on the associative property at brainly.com/question/13181.
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The circumference of the circle is about 25.12 inches. Hope it help!