A cylinder has a volume of 320 pi cubic inches and a height of 5 inches what is the radius

Answers

Answer 1

Answer:

As Per Provided Information

A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.

We have been asked to determine the radius of the cylinder .

Using Formulae

[tex] \purple{\boxed {\bf\: Volume_{(Cylinder)} = \pi {r}^{2}h}}[/tex]

Substituting the value and let's solve for radius .

[tex] \sf \qquad \longrightarrow \: 320 \pi \: = \pi \: \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^{2} \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = \sqrt{64} \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch[/tex]

Therefore,

Radius of cylinder is 8 Inches .

Related Questions

what is equivalent to 24x + 32y

Answers

Answer:

8*(3x-4y)

Step-by-step explanation:

Just did the test

HELP.

can someone give me an explanation of how to do this? i just want to know how to apply the explanation to other problems!

Answers

Mid point of any two points (x1,y1) and (x2,y2)

is ((x1+x2)/2,(y1+y2)/2)

using this

we get coordinates of d are (a,-2b)

What is a line? What is an angle? How do you describe a line and an angle? How do we know if an angle is right? obtuse? acute? or a full circle?

Answers

Answer:

A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)

Step-by-step explanation:

Explain why 10 to the zero power equals 1

Answers

Answer:

Because any number to the power of zero will be one.

need help with this pls

Answers

The volume of the square base pyramid is 588 ft³

The Volume of the rectangular prism is 120 ft³

The Volume of a rectangular pyramid is 360 ft³

What is volume of a shape?

Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

Volume of a square base pyramid = 1 / 3 × B × h

where

B = base area

Therefore,

Volume of a square base pyramid = 1 / 3 × 7² × 12

Volume of a square base pyramid = 1764 / 3 = 588 ft³

Volume of a rectangular prism = lwh

Volume of a rectangular prism =  6 × 5 × 4 = 120 ft³

Volume of a rectangular pyramid = 1 / 3 lwh

Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³

learn more on volume here: https://brainly.com/question/1578538

What is the space between two intersecting lines called?.

Answers

Answer:

The space between two intersecting lines is called an:
Angle



An angle is formed when two lines meet at a shared point. They are measured in degrees. There are four important types of angle; acute, right, obtuse, and reflex. A full circle has 360 degrees. If you see an angle of 720 degrees, it means it has rotated twice around a full circle.

360 degrees (one time round) x 2 = 720 degrees (two times round)




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Natoshia's den is 4 feet longer than it is wide. If the​ den's area is 320 square​ feet, what are the dimensions of the​ room?

Answers

Dimensions : 16 x 20

Let the width be xthen the length: x + 4

                     area of rectangle = Length * Width

solving steps:

(x+4)(x) = 320x² + 4x = 320x² + 4x - 320 = 0x² +20x -16x -320 = 0x(x + 20) -16(x+20) = 0(x-16)(x+20) = 0x = 16, -20x = 16                     [ As length or width can never be negative ]

So we found Width = 16 feet

Length:

16 + 420 feet

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

area = 320width = xlength = x + 4

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

THIS IS MY LAST QUESTION PLEASE HELP ME
Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price
Zion Sun Chairs must sell each chair for to break even if the total annual fixed costs are $17,363.50
and the variable cost per chair is $52.17.
O $57.03
O $64.50
O $81.25
O $79.65

Answers

Answer:

81.25

Step-by-step explanation:

a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of each face. The holes touch their neighbours at only one point. The cube has side 2. What is the diameter of each hole?​

Answers

Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

What is a Hemisphere?

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

Learn more about hemisphere on:

https://brainly.com/question/9280450

2x-10=12 what is the value of x+4

Answers

Answer:

15

Step-by-step explanation:

if 2x-10=12 then

2x=22 so

X=11

X+4= 15

Answer:

15

Step-by-step explanation:

1. we find what x is by finding out the first equation:

2x - 10 = 12

Add 10 to both sides (it cancels out on the first side)

-10 + 10 = 0 (cancels out)

12 + 10 = 22

2x = 22

Now we divide both sides by 2 to get x alone

22 divided by 2 = 11

X = 11

2. Now we can solve the equation x + 4:

Just fill in x, which as we solved, is 11

x + 4 = 11 + 4 = 15

Therefore, the value of x + 4 is 15.

In the rectangle below, sketch the position of the ribbons and outline a right triangle with a diagonal of the rectangle as the hypotenuse. Then, label the right triangle below the rectangle with the appropriate lengths from the problem.​

Answers

The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.

What is the length of the ribbon needed?

The length of the ribbon needed can be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where

a = length

b = base

c = hypotenuse

√4.5² + 6²

√36 + 20.25 = 7.5 feet

To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675

This is urgent I really I need the answers
Thanks in advance

Answers

equation: 2y = 3x + 15

If cross y-axis, the x will be 0

2y = 3(0) + 15

2y = 15

y = 7.5

crosses y-axis at (0, 7.5)

(b)

P(-1,10), Q(3,4)

(i) gradient:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]

[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]

[tex]\rightarrow \sf -1.5[/tex]

(ii) midpoint:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]

Please Help!!!!!!!!!!!!!!! I need this ASAP!

Answers

It’s the second choice
The answer is x=4; (4,11)
Hope this helps:)

What is the area of this quadrilateral(Please show a step by step process)

Answers

Answer:

40ft

Step-by-step explanation:

What you need to know is the formula for the air of a rectangle:

the long side * the short side.

First calculate the area of the rectangle in the middle: 3*8=24ft

Then we are left with two right-angled triangles, one on the left and one on the right. If we juxtapose them, we realize that it forms a rectangle whose large side measures 8 and the small 2 so 2*8=16ft.

Finally, just add the area of the middle rectangle with the area of our rectangle formed by the two triangles on the right and on the left. So 16+24=40ft

What is the surface area of the cylinder with height 8 and radius 2? Round your answer to the nearest thousandth.​

Answers

Answer:

surface area of cylinder is 126cm²

Step-by-step explanation:

Height of a cylinder is 8cm

Radius of a cylinder is 2cm

surface area = ?

surface area of cylinder= 2πr(r + h)

=2×22/7×2(2+8)

=44/7×2(10)

=44/7×20

=880/7

=125.71

A = 2πrh + 2πr² π=3.14

(2 x 3.14 x 2 x 8) + (2 x 3.14 x 2x2)100.48 + 25.12A =125.6

Which statement accurately describes the contents of the two boxes in the image?


A. The box on the top consists of a mixture while the box on the bottom consists of a pure substance.


B. Both boxes consist of pure substances.

C. The box on the top consists of a pure substance while the box on the bottom consists of a mixture.

D. Both boxes consist of mixtures. ​

Answers

The statement that describes the content of the two boxes is that the box on the top contains a pure substance, while the one on the bottom contains a mixture.

What is the difference between a pure substance and a mixture?

A pure substance often refers to a specific element such as nitrogen, helium, etc. that has not been modified or mixed with others.

On the other hand, a mixture includes two or more elements mixed.

What is the content of the first box?

The first box contains only nitrogen, which is a pure substance.

What is the content of the second box?

Different from the first box, this box contains two types of substances carbon and oxygen, which is why particles have two different colors. This means the content is a mixture.

Learn more about substances in: https://brainly.com/question/24372098

(b) The volume of water in a container is
directly proportional to the cube of its depth.
When the depth is 12 cm, the volume is 576 cm3.
Calculate
(i) the volume when the m is 1300 cm?. [2]

Answers

Answer:

See below.....Something is wrong with your question

Step-by-step explanation:

v = k d^3    or     k = v/d^3   = 576/12^3 = 1/3

when depth (???   m??)  is 1300 :

  1/3 =  v / (1300^3)  = 732 333 333 .3 cm^3

   

Mary walks to her garage. The distance to the garage as a function of time is shown in this graph

A. Mary starts 8 meters from the garage.

B. Mary walks 8 meters every 4 seconds.

C. Mary arrives at the garage after 4 seconds.

D. Mary walks at a speed of 2 meters per second.

Answers

Answer:

d

Step-by-step explanation:

so if you look at the bottom left corner you can see 1 box is the same as saying for every second someone walks its one metre.

thats not how i got the answer though.

if you look at the starting point at 8 because she was 8 meters away you need to see when she comes across her first second which after 2 meters (Goes down two squares before reaching the first second)

now technically soe of the other answers are correct too but heres how i thought about it.

A. its correct but i dont think that's what its asking you for tbh

B. This we don't know for sure. eg she could take 890 seconds walking back to her starting point we just don't know for sure.

C. This is also true but once again it's easily given to you so i dont think that's what you're being asked.

D. This is the only option where you had to do any for of working out because s=d/t so s=8/4=2m/s

200 divided by 5 what is the answer

Answers

Answer:

40

Step by Step:

200/5 = 40

30 POINS Find the measures of the numbered angles in the parallelogram. Please help

Answers

Answer:

Is there supposed to be an attachment? if so please send it so I can answer your question.

x = –8 –6x + 9y = 12 solve for substitution

Answers

Answer:

x= -8,y= -4

Step-by-step explanation:

Substitute x= -8

-6(-8)+9y=12

simplify

48+9y=12

isolate for y

y= -4

The solutions to the system of equations are:

x= -8 and y= -4

A sample of size 38 has s = 15.5 and yields this confidence interval for the mean:
(304.67, 322.48). What's the t* for this confidence interval?

6.29
3.14
2.514
2.026
3.542

Answers

Answer:

6338.7

Step-by-step explanation:

solve pls brainliest

Answers

Multiply 1/4 by 2/2 to get the same denominator of 8. Then the first blank would be 2/8 then your answer is 3/8

Find the measure of the missing angle in this triangle.

Answers

180-110-45= 25 degrees

Answer:

b = 25°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

b + 110° + 45° = 180°

b + 155° = 180° ( subtract 155° from both sides )

b = 25°

SOMEONE PLSLPLSSLSLS HELP ITS JUST 3 QUESTIONS BRO PLEASE ITS SO CONFUSING ILL BRAINLIST.


The length and width of a rectangle is 3x + 4 and x + 3 respectively.

a) write the perimeter of the rectangle in simplified form.

b) find the perimeter of the rectangle if x = 5.

c) the area of a rectangle is given by the formula area = length x width. Find the area of this rectangle when x = 4.

Answers

Step-by-step explanation:

a) Perimeter is equal to 2w + 2L

2(3x + 4) + 2(x + 3)

6x + 8 + 2x + 6

8x + 14

b) Put 5 in x's place

8×5 + 14

40 + 14

54

c) Area = (3x + 4) * (x + 3)

Put 4 in x's place

(3×4 + 4) * (4 + 3)

12 + 4 * 7

16 * 7

112

What is the area of the quadrilateral

Answers

To calculate the rectangular area in the middle we do:
Area = base*height
Area = 4*6 = 24
To calculate the triangular area on both sides it’s:
Area = 1/2* base* height
Area = 1/2*2*6 = 6

Since there is two triangular area and one rectangle it’s:

24+6+6 = 36 square feet
C. 36 square feet. So, first you take you square in the middle and multiply the bottom by the side which is 6x4= 24 then you take the outside triangles and put them together so it would be 6x2= 12 then add them together which is 36

May currently has a balance of $1,817.43 on her credit card. if she must make a minimum monthly payment of 3.44% of her total balance, what is her minimum payment, to the nearest cent? a. $5.21 b. $62.52 c. $40.84 d. $51.49 please select the best answer from the choices provided a b c d

Answers

She makes a minimum monthly payment of 62.52 dollars. Then the correct option is B.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

May currently has a balance of $1,817.43 on her credit card.

If she must make a minimum monthly payment of 3.44% of her total balance.

Then the minimum payment will be given as

Minimum payment = 0.0344 × 1817.43

Minimum payment = 62.519 ≅ 62.52

More about the percentage link is given below.

https://brainly.com/question/8011401

Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there

Answers

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

Evaluate −x^2+4x+1 when x=−2.

Answers

-(-2)²+4(-2)+1-(4)-8+1-4-7-11

Hey there!

In order to evaluate this expression, we need to plug in the value of x (-2)

So we have

-x²+4x+1

plug in -2

-(-2)²+4(-2)+1

-4-8+1

-12+1

-11

Hence, the answer's

[tex]\boxed{\boxed{\bold{-11}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

[tex]\sqrt[2]{80x^{2}y^{25} }[/tex]

Answers

Answer:

4xy^5√5

Step-by-step explanation:

√80 x √x² x √y^25

=4√5 x x x y^5

= 4√5xy^5

Answer:

  4xy^12√(5y)

Step-by-step explanation:

Squares under the radical can be factored out.

  [tex]\displaystyle \sqrt{80x^2y^{25}}=\sqrt{(4xy^{12})^2\cdot5y}=\boxed{4xy^{12}\sqrt{5y}}[/tex]

_____

Additional comment

Some versions of this question may have different exponents.

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