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3 years ago

Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = $\frac{4}{3}$ x $\frac{22}{7}$ x $(6)^{3}$

= $\frac{88}{21}$ x 216

= 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

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Brainly annie has 2 bags of apples and 5 single apples eva has 1 bag of apples and 11 single apples they have the same amount of

bekas [8.4K]

Answer:

34 apples

Step-by-step explanation:

To answer: try setting up each of the equations for Annie and Eva.

Annie: 2(bag) + 5

Eva: 1(bag) + 11

Those two equations equal each other. So set that up:

2(bag) + 5 = 1(bag) + 11

Now solve for the size of the bag.

2(bag) - 1(bag) = 11 - 5

1(bag) = 6 apples

Now substitute 6 back into either equation to determine number of apples.

Annie: 2(6) + 5 = 12+5=17

They each have 17, so there are 34 apples in total.

5 0

2 years ago

El 10% de 2cm cubicos

egoroff_w [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

.... ..................... need help

likoan [24]

Are u supposed to answer

3 0

3 years ago

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

What si the slope of y=-5x+4x

frosja888 [35]

Answer:

Use the slope-intercept form y=mx+b to find the slope m. m=−1

Step-by-step explanation:

lets take the x's away from: -5x+4x

That will be -5+4

-5+4=-1

Because remember:

When adding positive numbers, count to the right.

When adding negative numbers, count to the left.

When subtracting positive numbers, count to the left.

When subtracting negative numbers, count to the right.

I hope this helps. :)

6 0

2 years ago

Read 2 more answers