A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.

Answers

Answer 1

Answer:

4.4cm

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.

Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.

We can set up an equation V = [tex]\pi r^{2}h[/tex]

If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]

If we divide both sides be 8pi and square root both sides after that, we can find the value of r.

[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]

To the nearest tenth, the radius would round up, yielding 4.4cm


Related Questions

helpppppp meeeeee!!!

Answers

The answer is A. -8 I got you!!!!!

what is the mean of this set of numbers? 8,12,10,9,12,9,11,9​

Answers

Answer:

10

Step-by-step explanation:

You add all the numbers and then divide by the amount of numbers (in this case, 8)

Answer:

Step-by-step explanation:

Mean is average

Add all numbers up

Then divide by the amount of numbers (8)

thats the mean


Help me please!!!!!

Answers

Answer:

A & B

Explanation:

A:
x = -x + x + 0 + x
x = 0 + x
x = x

B:
x = 0 + (x + 0)
x = x + 0
x = x

53% equals:
Fraction

Answers

0.53 I did it and got it correct

Answer:

QUESTION:

53% equals:

Fraction

ANSWER:

53% = 0.53 in decimal form.

0.53 = [tex]\frac{53}{100}[/tex] in fraction form.

Step-by-step explanation:

I hope that this helps you out! :)    

Have a great rest of your day/night!    

Please thank me on my profile if this answer has helped you out.

You inherit $5,000 from your Uncle Harold. The bad news is that the money must sit in a bank account for the next 10 years until you can use it. The account earns 7.2% interest, compounded annually. This means that you will need to multiply the amount of money by 1.072 to determine how much money remains at the end of the next year.
HELPPP PLEASEE

Answers

Answer:

what the world is this question its so long and hard

If a standard die is rolled twice, what is the probability that it lands on a number greater than 4 both times?

Answers

Answer:

1/3 i believe

Step-by-step explanation:

10 minus what gives you 13.3

Answers

10 minus negative 3.3 gives you 13.3

What is the length of in the right triangle below?

Answers

Answer:

75

Step-by-step explanation:

root21² + root72²= 75

Help, please! I will try to give you Brainliest when you get it right.

Answers

Step-by-step explanation:

a) x + 14 + 3x = 90b) <1 = 33°<2 = 57°

As,

x + 14 + 3x = 90 [Complementary Angles]

=> 4x = 90 - 14

=> 4x = 76

[tex] = > x = \frac{76}{4} [/tex]

=> x = 19

Hence,

<1 = x + 14°

= 19 + 14 = 33°

<2 = 3x

= 3 × 19° = 57°

How many bracelets did christa sell in July? HELP ASAP PLEASEEE

Answers

Answer:

20

step by step explanation:

Answer:

20

Step-by-step explanation:

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f(x) = 2x - 3 and f(x) = f'(x), find the value of x.​

Answers

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

Please help with this math question (Attached screenshot)

Answers

I coudnt attach it here use ik.3/ .. to see the answer gd kick

Answer:

a) its the secod=nd option (12/x<15000)

b) at least 1250 rides are needed

Step-by-step explanation:

Si X es una variable aleatoria de tipo continuo… ¿Es posible definir el índice de asimetría de Fisher? ¿Por qué?

Answers

Answer:

Primero, para un caso discreto, el índice de asimetría de Fisher se calcula como:

[tex]\frac{\sum(xi - M)*n_i}{N*S_x}[/tex]

Donde:

xi son los i-esimos distintos valores de nuestro conjunto de datos.

M es la media

N es el numero de datos

ni es la frequencia absoluta de cada xi

Sx es la desviacion tipica

Podemos ver que en el caso discreto, escribimos el coeficiente con una sumatoria, lo cual realmente no podemos hacer para una variable continua.

Lo que si podemos hacer para una variable continua, es una integral, donde como esta vez tenemos una variable continua, podemos definir una función:

f(X) = frequencia absoluta para X.

Y escribir el coeficiente como:

[tex]\frac{\int\limits^a_b {(X - M)*f(x)} \, dx }{N*S_x}[/tex]

Entonces si, es posible definir el índice.

Is an apple juice box 250 milliliters or 250 liters

Answers

Answer:

Step-by-step explanation:

250 milliliters

A tree house has a rectangular floor with a perimeter of 246 inches and a length of 48 inches.

What is the width of the floor?

Answers

Answer:

75 inches

Step-by-step explanation:

First, the perimeter of a rectangle is 2(length)+2(width). The length and total of the perimeter was given to us, so the equation looks like 2(48)+2(w)=246

96+2w=246 (multiply and add where you can on both sides)

2w=150 (get all of the variables on one side and the numbers on the other)

w=75  (simplify to get your final answer)

width is 75 inches. [make sure to add the units!]

(お役に立てれば)

pls help i am confused no links

Answers

Answer:

x = 20

Step-by-step explanation:

These angles are equal to each other because they are vertical angles.

Hence, we can equal the two measurements together to solve for x:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

Check your work:

3(20) + 50 = 6(20) - 10

60 + 50 = 120 - 10

110 = 110

Correct

A box has a square base with each side measuring 8 inches. The height of the box is 4 inches. What is the surface area of the box in cubic inches?

Answers

Answer:

The surface area should be 256 cubic inches

Step-by-step explanation:

The equation you use to find surface area is A=(wl+hl+hw)*2. The w stands for width (8) the l stands for length (8) and the h stands for height (4). When we put these numbers into the equation we get A=(8·8+4·8+4·8)*2. We do the multiplication first, then we add all of them up and times by 2; this gives us our answer of 256.

hope this helps:)

plz can i get brainliest.

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
7

Answers

Answer:

71°

Step-by-step explanation:

∠ADB=∠CBD=37°

∠ABD=∠CDB=34°

∠ABC=∠ABD+∠CBD=34°+37°=71°

what does t = ??
please help

Answers

Answer:

T=116

Step-by-step explanation:

That is a 90 degree angle and a 26 degree angle, so 26+90=116. 360 is the total degrees in all, so 360-116=224. t degrees is 116.

Step-by-step explanation:

t = 90° + 26° { Being vertically opposite angles }

t = 116 °

Hope it will help :)❤

help..!!!!!__________________________

Answers

Answer:

Where exactly is <T?

Step-by-step explanation:

Either way I will say it's 66 degrees or cannot be determined. Either of those

Answer:

The answer to this question is 136

i put the image of the question, PLS HELP

Answers

Answer:

A translation is when you move in a direction but the shape doesn't turn or change.

You translate an image by moving a shape in any direction without turning it for example: *draw a shape* then move it to anywhere but don't turn the shape.

An easy way of finding the new coordinates is just by looking to which respect it's too. For example when you do a respect to the y axis you keep the second number in the coordinate pair and change the first number's sign in the coordinate pair same to the x axis.

It depends on their sign. Change in x-coordinate. Change in y-coordinate. Right. Increases. No Change. Left. Decreases. No Change. Up. No Change. Increases. Down. No Change. Decreases .

We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).

please help and fast!

Answers

The first one 7x+15.50=100

HELP PLEASEEE!can somebody give me the answer than try to explain how you got it

Answers

Answer:

THE ANSWER IS 384

Step-by-step explanation:

2400*.06=144

144*14=2016

2400-2016=384

For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth. A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

Answers

Answer:

[tex]A=17.99\ in^2[/tex]

Step-by-step explanation:

Given that,

A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

We need to find the area of the cloth.

The side lengths form an isosceles triangle. The formula for the area of the isosceles triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

[tex]h=\sqrt{a^2-\dfrac{b^2}{4}}[/tex]

So,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4}}[/tex]

Put a = 6 and b = 8.5

So,

[tex]A=\dfrac{1}{2}\times 8.5\times \sqrt{6^2-\dfrac{8.5^2}{4}}\\\\A=17.99\ in^2[/tex]

So, the area of the cloth is equal to [tex]17.99\ in^2[/tex].

which expression is equivalent to ((1)/(\sqrt(y)))^((-1)/(5))

Answers

Answer:

1/10squarerootY

hope it helps <3

Please hlelp me I need he fdfdf

Answers

Answer:

21 ft^2

Step-by-step explanation:

5x3=15

3x2=6

15+6=21

Answer:

21 ft squared

Step-by-step explanation:

Make the rectangle whole: 6x5=30

Find the area of the missing piece: 3x3=9

Subtract the missing piece's area by the whole area: 30-9=21

company that manufactures a popular multivitamin wanted to determine whether their multivitamin had any side effects. For its initial study, the company chose 2000 individuals to take one of their multivitamin tablets per day for one year. Scientists from the company surveyed the participants to determine whether they had experienced any side effects. The greatest problem with this procedure is that A) only one brand of vitamin was tested B) the study lasted only one year C) the sample size was not large enough D) no control group was used

Answers

Answer:

Option D

Step-by-step explanation:

In this experiment, It would have been scientific to compare the result of the experiment on the experimental group(taking the multivitamin) with the control group (Taking no medicine)

Without a control group, a defined impact of multivitamin over the experimental group cannot be deduced.

Hence, option D is correct

PLZ HELP WILL GIVE BRAINLIST!!!

Answers

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Answer:

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Step-by-step explanation:

I NEED HELP WITH THIS

Answers

Answer:

180-130=50°

Step-by-step explanation:

answer is 50degrees

The answer is 50 degrees

8 - 3 = 9

what is the value of g in the equation?

Answers

Answer:

Hi! The answer to your question is [tex]g = 0[/tex]

Step-by-step explanation:

In the equation there is no g so g is nonexistant so it equals 0

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

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