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.
I'm guessing that you don't really want the formulas. I think what you actually want
is the definitions of those functions of an acute angle when it's in a right triangle.
Cosine = (adjacent side) / (hypotenuse)
Tangent = (opposite side) / (adjacent side)
Sine = (opposite side) / (hypotenuse)
Tell me if I'm wrong, and I'll find some formulas for you.
I don't know what your choices are, but I did the questions for you.
R=D/2, R=12, R=radius,
SA= 4 times 3.14 12 times 12, so,
SA=1809.557368, if you round it to two decimal places, it'll be,
1809.56, so the answer is 1809.56in. squared.
