A cylinder-shaped barrel has a diameter of 8 feet and a height of 7 feet. If the barrel is empty, which is closest to the minimum amount of water needed to completely fill the barrel?

Answers

Answer 1

Answer: [tex]351.9\ ft^3[/tex]

Step-by-step explanation:

Given

The dimater of cylinder is [tex]d=8 \ft[/tex]

The height of the cylinder is [tex]h=7\ ft[/tex]

To fill the barrel, it must be filled with a volume equal to its volume i.e.

[tex]\Rightarrow V=\pi r^2h\\\Rightarrow V=\pi \cdot 4^2\times 7\\\Rightarrow V=112\pi\\\Rightarrow V=351.9\ ft^3[/tex]

Thus, [tex]351.9\ ft^3[/tex] of water is required to completely fill the barrel.


Related Questions

Please help me with this! I will give brainlist!

Answers

Answer:

Its the 2nd Dot

Step-by-step explanation:

Which arithmetic sequence has a first term equal to 47 and a common difference of -18?

a.{-18, -65, -112, -159, …}

b.{47, 29, 11, -7, …}

c.{-18, 29, 76, 123, …}

d.{47, 65, 83, 101, …}

Answers

Answer:

b

Step-by-step explanation:

There are 2 sequences with a₁ = 47, b and d

The common difference of both is

(b)

d = a₂ - a1 = 29 - 47 = - 18

(d)

d = a₂ - a₁ = 65 - 47 = 18

The the sequence with first term 45 and common difference - 18 is b

The required sequence which has a first term equal to 47 and a common difference of -18 is {47, 29, 11, -7, …}. Option B is correct.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
An arithmetic sequence has a first term equal to 47 and a common difference of -18,
a = 47
d = -18

The sequence formed given as,
⇒ a, a + d, a + 2d, a + 3d
⇒ 47, 47 - 18, 47 + 2(-18), 47 + 3(-18)
⇒ 47 , 29, 11, -7 . . . . .

Thus, the above sequence matches the sequence given in option b.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

GEOMETRY HELP PLEASE ASAP!!
1

Answers

Hi you just have to multiply the top and side of each shape then add them all up so the final answer is 782 square inches

Solve the equation for x .........

Answers

Answer:

-30

Step-by-step explanation:

-x/10 = 3

-x = 3 * 10 (transposing)

-x = 30

x = -30

A bookstore costs $75 a day to keep open, and spends $10 for each book it
sells. The store charges $15 for each book it sells. If n represents the number
of books sold, which equation represents the revenue function for this
bookstore?
A. r= 15n
B. r= 25n
C. r= 10n
D. r= 75n

Answers

Answer: A. r= 15n

Step-by-step explanation: took the quiz.

The solution is, The cost function of this bookstore is 10n + 75.

What is cost function?

A cost function is a formula used to predict the cost that will be experienced at a certain activity level.

here, we have,

According to the given problem,

Cost to open bookstore for a day - $75

Price for selling each book = 10

Considering number of books to be n,

Total cost for selling each book = $(10×n)

Therefore total cost price =  $( 10n + 75)

Hence, we can conclude that the total cost function of this bookstore is represented by equation 10n + 75

Learn more about cost function here:

brainly.com/question/23313575

#SPJ5

if you can help me youre a legend :)

Answers

Answer:

A. 9

B. 7

Step-by-step explanation:

A. 11 - 2 = 9

B. 1 + 6 = 7

A)11-2=9
B)6+1=7
I think this is the answ

69. A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________. a. at least 20%, when in fact, it is less than 20%. b. 20%, when in fact, it is 20%. c. less than 20%, when in fact, it is 20%. d. less than 20%, when in fact, it is less than 20%

Answers

Answer:

a. at least 20%, when in fact, it is less than 20%.

Step-by-step explanation:

Type 1 Error is to reject null hypothesis when it is actually true.

Here the null hypothesis is fewer than 20% of Evergreen Valley College (EVC) students attended the show.

In mathematics fewer than 20% means less than  20%.

So the null hypothesis is that less than 20 % students attended the show.

We have to reject this hypothesis .

We can reject this hypothesis when we assume that the % is greater than or equal to 20 %

At least  20% means greater than or equal to 20%.

So the best choice is option a.

at least 20%, when in fact, it is less than 20%.

I put C but again I’m not really sure it’s the correct answer.

Answers

Answer:

A

Step-by-step explanation:

Identify Slope and Y intercept for the equation X=4 M=B=

Answers

Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.

Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas pago 480 €, ¿cuánto vale la falda?

Answers

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

[tex] F = 5 + B [/tex]   (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

[tex] 6F + 4B = 480 [/tex]  (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

[tex] 6F + 4B = 480 [/tex]

[tex]6(5 + B) + 4B = 480[/tex]

[tex] 10B = 480 - 30 [/tex]

[tex]B = \frac{450}{10} = 45[/tex]  

Finalmente, el precio de la falda se puede encontar con la ecuación (1):

[tex]F = 5 + 45 = 50[/tex]

Por lo tanto, el precio de la falda es 50 €.  

Espero que te sea de utilidad!      

f(x) = 2(x+4)2 - 6
Vertex:
Is the vertex a max or min?

Answers

Answer:

2 is positive, so this graph has a minimum and opens upward

Step-by-step explanation:

i need help on this question.

Answers

The Apple is 5.2 pounds
Answer: Bananas is 3.2 lbs, grapes is 2.2, and apples is lbs (i think)

Explanation: 9.6 divided by 3 is 3.2. Then figure out how many lbs the grapes are, which is 2.2 because 2.2 is one lb less than 3.2, which is bananas because the bananas are one lb more than the grapes. Then to figure out the apples, all you need to do is do 2.2 + 3.2 = 5.4, then figure out how much more you need to add to get to 9.6 which is 4.2. I really hope this helped, im not very good at explaining lol

Find the cubes of the following numbers: a) 21 b) 55 c) 302

Answers

Answer:

21 cubed is 9261

55 cubed 166375

302 cubed 27543608

hope this helps

have a good day :)

Step-by-step explanation:

A circular plate had a diameter of 10 cm. The rectangular table it sits on
has dimensions of 5000mm x 3600mm. How many plates can fit on this
table? What is the percentage they cover?
Please help me it’s 10 points also this is my first time on this app

Answers

Answer:

2292.9936

Step-by-step explanation:

circular plate had a diameter of 10 cm. The rectangular table it sits on

has dimensions of 5000mm x 3600mm. How many plates can fit on this

table? What is the percentage they cover?

Please help me it’s 10 points also this is my first time on this app

Given :

Dimension of table :

5000 mm * 3600 mm

Area of rectangle = Length * width

Area of table = 5000 * 3600

Area of table = 18000000 mm²

Recall :

1 cm = 10 mm

Diameter of circular plate = 10cm

Converting to mm :

10 * 10 = 100 mm

Area = diameter/ 2 = 100 mm / 2 = 50 mm

Area of a circle = πr²

Area of circular plate = 3.14 * 50² = 7850 mm²

Number of plates = 18000000 / 7850

= 2292.9936 plates

About 2293 plates

The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.

Answers

Here is your answer ^^

----------------------------------

C≈25.13cm

Explanation:

C=2πr

d=2r

Solving for C:

C=πd=π·8≈25.13274cm

-------------------------------------

Anyways bye! <3

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
16 cm
The volume of the sphere is about|
cm?

Answers

12 cm yo the approximate square in each individual variable

Me ajudem por favor




PS: Explicar resposta

Answers

Answer:

B

Step-by-step explanation:

√16/25 = 4/5 = 0.8-> (4/5 x 4/5 = 16/25)

(2/5)^3 = 8/125  = 0.064

-(-0.3)^3 = 0.027 (an odd exponent mantains the same sign of the number and minus x minus = +)

-√169 = -13

-13 is a negative number so it is surely the smallest

2 is minor than 6 so we have that 0.027 is minor than 0.064

8 is major than 0, so 0.8 is the greatest number

we have

-√169 ; -(-0.3)^3 ; (2/5)^3 ; √16/25

The movement of moving particles is described in the equation r=ht22 −2vt−2c. Solve the equation for v.

Pls help

Answers

Answer:

[tex]v=\dfrac{r-ht^2+2c}{-2t}[/tex]

Step-by-step explanation:

The given equation is :

[tex]r=ht^2 -2vt-2c[/tex]

We need to solve the above equation for v.

Subtract ht² from both sides.

r-ht²= ht²-2vt-2c-ht²

r-ht² = -2vt-2c

Adding 2c both sides,

r-ht² +2c= -2vt-2c+2c

r-ht² +2c = -2vt

Dividing both sides by (-2t)

[tex]v=\dfrac{r-ht^2+2c}{-2t}[/tex]

So, the value of v is equal to [tex]\dfrac{r-ht^2+2c}{-2t}[/tex].

Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.

Answers

Answer:

d

Step-by-step explanation:

Examine the equation below. Use it to answer question 54.
6x + 3 = 3 (2x + 3)
Question 54 *
Which statement correctly explains whether the equation is true or not?
A.
B.
C
D.
It is not true because all the x values should be on the same side of the equation
It is true because the terms on the left are multiples of 3
It is not true because 3 x 3 does not equal 3
It is true because óx equals 3 * 2x

Answers

D= it's is true because ox equals 3*2x

elliot is going to save $15 per week ​

Answers

Answer:

B. 15-W

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

A.)

Step-by-step explanation:

because if elliot gets 15$ each week the it would be a

The length of a line is 63 centimetres, correct to the nearest centimetre.
Write down the least possible length of the line.
(1 mark)

Answers

Answer:

this question needs more detail

Step-by-step explanation:

I would just say 0 as the least possible length of the line

What is the measure of 2HPL?
H
(12x - 15)"
(8x + 33)

Answers

Answer:55

Step-by-step explanation:

HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL

Answers

Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!

Step-by-step explanation:

Last night Danielle had a birthday party. 1/3 of the birthday cake was leftover. She wanted to share the leftover birthday cake with 44 friends the next day. How much of the birthday cake would each get if they shared it equally?

Answers

Answer:

1/132

Step-by-step explanation:

1/3 ÷ 44 would be solved by multiplying 1/3 and 1/44 which is 1/132

A math teacher noticed that 70% of seventh graders completed an extra credit assignment. About how many of 130 seventh graders would complete the extra credit assignment?

Answers

Answer:

91 students

Step-by-step explanation:

130 x 70% =91

Answer:

91 students

Step-by-step explanation:

so we are looking for 70% of 130

so we do the following:

130*.70

91 students

Refer to OP for Exercises 1-8. If SN and MT are diameters with m/ SPT 51 and m/ NPR 29, determine whether each arc is a minor arc, a major arc, or a semicircle. Then find the degree measure of each arc.

1. MNR

3. mTSR

2. MST

4. mMST

If MT= 15, find the length of each arc. Round to the nearest tenth.

5. NR

7. TSR

6. ST

8. MST

M

N

R

Geometry

Answers

Step-by-step explanation:

the answer is a

if m=5, evaluate the following: 20-5m =​

Answers

Answer:

-5

Step-by-step explanation:

20-5m

20-5(5)

20-25

5.

Is this the answer that you are looking for?

Show you work in sketch.

5(3 - x)

Answers

Answer:

sketched it out for ya

Step-by-step explanation:

If Timmy has 38 apples, and Tina’s favorite food is mango, how were the stars aligned in the sky on March 16th, 1876?

Answers

Answer:

The real question is why do the people in math problems have an unnecessary amount of objects? also the answer is capricorn

Step-by-step explanation:

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