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dem82 [27]
3 years ago
9

Sean used candle molds, as shown, to make candles that were perfect cylinders and spheres:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0
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. 
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\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}

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