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Katarina [22]
3 years ago
10

How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters 6 meters​? Us

e 3.14 for piπ.
Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0
To find the volume of a cone, you use the formula \pi  r^{2}  \frac{h}{3}.
Radius squared would be 36 in our case and 36 times 3.14 is 113.04. 6 thirds is  also two, so multiply that by two and you would get 113.04 x 2 = 226.08. So, your answer would be 226.08 cubic meters of dirt.
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Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
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Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

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p + w = speed with wind

 p - w = speed against wind

We have two conditions:

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(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

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Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

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