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.
Answer:
1/15
Step-by-step explanation:
The first thing to do is to change both denominators so that they're the same. In this case, that would be 15.
Then, whatever you do to the denominator, you must also do to the numerator.
+ x = 
X = 1/15
We have to choose the correct answer which of the employees has the greatest total employee compensation. We just have to subtract the job expenses from total job benefits for everyone of them. A: $49,200 - $300 = $38,900. B : $49,500 - $500 = $49,000. C : $49,800 - $700 = $41,100. D : $50,100 - $900 = $49,200. The largest sum is $49,200 ( employee D ) . Answer: The greatest total employee compensation has Employee D<span>.</span>
$64.80 50+20%+8% tax then you get 64.80
Answer:
<em></em>
<em></em>
<em></em>
Step-by-step explanation:
Required
Show that:

To make the proof easier, I've added a screenshot of the triangle.
We make use of alternate angles to complete the proof.
In the attached triangle, the two angles beside
are alternate to
and 
i.e.


Using angle on a straight line theorem, we have:

Substitute values for (1) and (2)

Rewrite as:
<em></em>
<em> -- proved</em>