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3 years ago

The radius AND height of a cylinder are each doubled. What is the new volume?

Mathematics

1 answer:

Naya [18.7K]3 years ago

7 0

The volume of a cylinder is given by

$V = \pi hr^2$

Let $h\mapsto 2h$ and $r\mapsto 2r$

The new volume becomes

$V = \pi(2h)(2r)^2 = \pi\cdot 2h \cdot 4r^2 = 8\pi hr^2$

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.

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Sound policy requires that a certain number of trees be planted for every tree that is cut down for example of 8 trees are cut d

Nimfa-mama [501]

Answer:

30 trees

Step-by-step explanation:

Given the policy:

8 trees are cut down 48 trees will be planted

If homeowner is going to cut down five trees on his property how many trees will be planted

Since :

8 trees cut down = 48 planted

5 trees cut down = X

Cross multiply :

8 * X = 48 * 5

8X = 240

X = 240/8

X = 30

Hence, 30 trees will need to be planted

4 0

3 years ago

Find the inner product for (7, 2) * (0, -2) and state whether the vectors are perpendicular.

Andrews [41]

Answer: A

Step-by-step explanation:

To find the inner product of two vectors (a,b) and (c,d) you would use the equation (a * c) + (b * d)

So for (7,2) and (0,-2) the inner product would be

(7 * 0) + (2 * -2)

= 4

The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to -4 in this case, the vectors are not perpendicular.

A -4; no

3 0

3 years ago

Read 2 more answers

Is 10/9 closer to 0 1/2 or 1

Viktor [21]

The answer is the number 1.

5 0

3 years ago

The Knicks and Nets have a total 30 players.

Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

$K + N = 30$

$20K + 10N = 500$

where $K$ is the number of Knicks players, and $N$ is the number of Nets players.

We can substitute the first equation into the second and solve for $K$

$K + N = 30$

$N = 30 - K$

$20K + 10N = 500$

$20K + 10(30 - K) = 500$

$20K + 300 - 10K = 500$

$10K + 300 = 500$

$10K = 200$

$K = 20$

5 0

3 years ago

How many points on the graph represent a relative minimum? please help

Tasya [4]

<h3>Answer: 1</h3>

Point B is the only relative minimum here.

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Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.

8 0

3 years ago