All categories

3 years ago

What is the height of a cylinder with a volume of 936 pi cubic inches and a diameter of 24 inches?

Mathematics

1 answer:

mestny [16]3 years ago

3 0

Answer:

Height = 6.5 in.

Step-by-step explanation:

936π = π r^2 h

936 = r^2 h

r = 24/2 = 12 so

144 h = 936

h = 6.5 in.

You might be interested in

What is the solution of y − 4x = 0 and 3x + 6y = 9?

Elden [556K]

You solve this by plugging one equation into the other. Usually you have to rewrite one equation to make this work. In this case I choose to rewrite y-4x=0 as y=4x.

After plugging it into the second, you get:

3x + 6*4x = 9 => 27x = 9 => x=1/3

Putting this solution back into y=4x gives us y=4/3

4 0

3 years ago

What is the classification of each system? Drag the answers into the boxes to match each system. {4x−2y=102x−y=5 {y=2x−3−2x y=−5

Rus_ich [418]

1. 4x − 2y = 10 and 2x − y = 5

Lines are coincident.

2. y = 2x − 3 and −2x + y = −5

Lines are parallel.

3. 2x − 5y = 14 and 3x + 4y = 10

Lines are intersecting.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

<h3>Given</h3>

1. 4x − 2y = 10 and 2x − y = 5

2. y = 2x − 3 and −2x + y = −5

3. 2x − 5y = 14 and 3x + 4y = 10

<h3>Condition for the lines.</h3>

$\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2} \ \ \ \ \ \ \ \ \ \ \ Lines\ are\ intersecting\\\\\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}\ \ \ \ Lines \ are\ parallel\\\\\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} = \dfrac{c_1}{c_2} \ \ \ \ Lines\ are\ coincident$

<h3>Drag the answers into the boxes to match each system.</h3>

1. 4x − 2y = 10 and 2x − y = 5

Lines are coincident.

2. y = 2x − 3 and −2x + y = −5

Lines are parallel.

3. 2x − 5y = 14 and 3x + 4y = 10

Lines are intersecting.

More about the linear system link is given below.

brainly.com/question/20379472

6 0

2 years ago

James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in to

gtnhenbr [62]

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

3 0

3 years ago

Answer for brainliest with explanation

Rudiy27

Answer:

The volume is

$24000 {mm}^{3}$

Step-by-step explanation:

The formula to find the volume of a rectangle is

$volume = length \times height \times width$

By looking at the shape that was given we can see that is is made up of two rectangles. In order to find the volume we have to first find the length, height, and width of both of these rectangles and then add them together.

First we must note that the opposite sides of a rectangle are always equal; hence the first rectangle (the one that is lying side ways) would have a width of 10mm, a length of 60mm, and a height of 20mm. The 60mm and the 10mm can easily be seen however to find the 20mm (the height) we have to subtract 40 from 60. The 60 is the total height of the tallest rectangle hence to find the height of the small rectangle we must subtract the 40mm from the 60mm which is 20mm. 60 x 10 x 20 = 12,000

For the second rectangle (the one that is standing upright) we have to do the same and find the length, width and height. The height is 60mm, the width is 20mm and the length is 10mm. 60 x 10 x 20 =12,000

<em>Therefore</em><em> </em><em>the</em><em> </em><em>volume</em><em> </em><em>is</em><em> </em><em>24</em><em>,</em><em>0</em><em>0</em><em>0</em><em> </em><em>mm</em><em>^</em><em>3</em>

5 0

2 years ago

2. By selling an article for ₹1636.25, a dealer gains ₹96.25. Find his gain percentage.

madreJ [45]

Answer is..

5.88%

(96.25/1636.25)%

= 5.88%

4 0

3 years ago