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2 years ago

What is the volume of the cylinder below?

Mathematics

2 answers:

vekshin12 years ago

5 0

the answer is 252π option A

mash [69]2 years ago

4 0

For this case we have that the volume of the cylinder is given by:

$V = \pi * r ^ 2 * h$

Where:

h: It is the height of the cylinder

A: It is the radius of the cylinder

We have to, according to the given data:

$h = 7\\r = 6$

Substituting:

$V = \pi * (6) ^ 2 * 7\\V = \pi * 36 * 7\\V = 252 \pi$

ANswer:

Option A

$252 \pi \ units ^ 3$

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Find the value of x. Round to the nearest tenth.

Aliun [14]

Answer:

Step-by-step explanation:

Triangle XYZ is a right angle triangle.

From the given right angle triangle

XZ represents the hypotenuse of the right angle triangle.

With ∠34 as the reference angle,

YZ represents the adjacent side of the right angle triangle.

XY represents the opposite side of the right angle triangle.

To determine x, we would apply the Cosine trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 34 = x/28

x = 28Cos34 = 28 × 0.8290

x = 23.212

To the nearest tenth, it becomes

23.2

7 0

3 years ago

4. A school has a toy drive for a holiday in which students bring in toys to be donated to

sergejj [24]

<h3>Its greater for junior: Juniors=40+25+5+20+40–>140 Seniors=5+35+45+30+15—>130 It’s greater for junior because they have 10 more toys than seniors</h3>

7 0

3 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

$1800 is invested at 4% compounded annually. Find the future value of the investment in 5 years. Find the interest that the inve

harina [27]

5 Years is 1800x1.04^5 = 2189.98
Interest is 389.98

8 0

3 years ago

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The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its

lana66690 [7]

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem:

- <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.

-Madison is 5 feet tall.

2. Therefore, you have:

Sin</span>α=opposite/hypotenuse
<span>
Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft

3. Now, you can calculate the height of the Statue of Liberty, as below:

height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft

4. Therefore, as you can see, the answer is: 62.13 ft
</span>

4 0

3 years ago

Read 2 more answers