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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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What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?
NeX [460]

Answer:

letter C: 100

Step-by-step explanation:

This problem can be configured as an arithmetic progression:

The first value is 10, the ratio is also 10 (the multiples of ten are 20, 30, 40, ...) and the number of terms is 19 (10, 20, 30, ... , 180, 190 -> total of 19 numbers).

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