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Sergeu [11.5K]
3 years ago
11

How do I work out "The beam from a lighthouse reaches a distance of 8 kilometers and spreads to an angle of 35 degrees. Calculat

e the area covered by the beam from the lighthouse."
Mathematics
1 answer:
kifflom [539]3 years ago
3 0
The whole circle has 360 degrees

You just need to count the area of circle with radius of 8 km and then multiple it by the fraction 35 over 360.
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Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

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substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

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In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

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therefore

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\frac{1}{8}

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