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Alina [70]
4 years ago
13

A trash can manufacturing company makes trash cans with the dimensions shown. They also make larger cans in which the radius and

the height are doubled. Which statement best describes the relationship between the volumes of the trash cans?
Mathematics
1 answer:
fomenos4 years ago
3 0
It is shown that by looking at the formula for the volume of a cylinder (we assume that the trash can is cylindrical):

V = pi*r^2*h

We can conclude that the volume of the trash can is directly proportional to its radius and height. To wrap up, the volume would increase as the radius of the trash can's base, and its height would be increased as well.
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A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still
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Answer:

<em>The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

\displaystyle B-S=\frac{172}{3}

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

\displaystyle B+S=\frac{372}{4}=93

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Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

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Multiplying by -1 and solving for S:

S = \frac{107}{6}\approx 17.83\ km/h

From [2]:

B = 93 - \frac{107}{6}

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