The radius of a cylindrical water tank is 4 ft, and its height is 6 ft, what is the volume of the tank?

Answers

Answer 1

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh      B = area of the base     h = height

The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]

V = 16π(6) = 96π cu ft.

Answer 2

The volume of the cylinder is 301. 6 cu. ft.

What is the volume of the cylinder?

[tex]V=\pi \times r^2\times h[/tex]

where r is the radius of the cylinder and h is the height of the cylinder

For given question,

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,

[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]

We need to find the volume of the cylinder.

Using the formula of the volume of the cylinder,

[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]

Therefore, the volume of the cylinder is 301. 6 cu. ft.

Learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

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Related Questions

Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=

Answers

X=4/5
X=3

Hope it helps

Help Plz
WIll mark brainliest

Answers

Answer:

y=+|x-3|

Step-by-step explanation:

We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.

Answer:

fam good luck

Step-by-step explanation:

If I drive 5minutes and 1.4miles back and forth a day for 6 months/182.5days, how many hours would I have driven.

Answers

Answer:

Bdksfdmwfdbdvenwksgzbb2i38ryened

John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?

Answers

sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Answer:

The transformation rule should be applied to the pre-image.  The application of the rule results in the point (8, 12).  The transformation rule was applied to the wrong point.

Step-by-step explanation:

2a + b = 20
show your work

Answers

Answer:

I posted it above!!!

Step-by-step explanation:

hoped I helped:)

Hannah buys ice cream and onions at the store

She pays a total of 35.16

She pays a total of 4.44 for the ice cream

She buys 6 bags of onions that each cost the same amount

Write and solve an equation which can be used to determine x, how much each bag of onions costs

Answers

Answer:

x=5.12

Step-by-step explanation:

35.16= 4.44+6x

30.72=6x

5.12=x

x=5.12

Hope this helps :)

what is the surface area​

Answers

B OR D make a good guess

how many one-digit integers are there

Answers

the even ones are 2, 4, 6, 8. There are 4 of them. 2-digit integers: 10, 12, ..., 98 (45 of these), but in 4 of them (22, 44, 66, 88) the two digits are the same. So there are 45 − 4 = 41 even 2-digit integers with distinct digits.

How do i slove for x2 + 19 = 3

Answers

Answer:

x = ± 4i

Step-by-step explanation:

x^2 + 19 = 3

Subtract 19 from each side

x^2 +19-19 = 3-19

x^2 = -16

Take the square root of each side

sqrt(x^2) = sqrt(-16)

x = sqrt(-1*16)

x =sqrt(-1) * sqrt(16)

We know that the square root of -1 is the imaginary number i

x = ± 4i

Solve the system.

4x+2y+3z=12
2x−3y+5z=−7
6x−y+4z=−3

Answers

are these 3 separate questions?

Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.

(a) For each account, write an expression for the amount of money in the account after x months.

Amount of money in Chau's account (In dollars) =

Amount of money in Yoko's account (in dollars) =

(b) Write an equation to show when the two accounts would have the same amount of money.

Answers

Answer:

A1-60x+460

A2-50x+530

B-60x7+460

50x7+530

Step-by-step explanation:

A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.

B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.

Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.

What is the cosine of the angle the refrigerator makes with the floor?

A, 4/5

B, 5/4

C, 4/3

D, 3/4

E, 3/5

Please help I’ll give branliest

Answers

A sorry if I’m wrong

The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

Harold tilted the 5 foot fridge, so the slanting height = 5 feet

The tilted refrigerator makes the height 4 feet from the floor.

From the diagram,

The three sides of the triangle according to Pythagoras theorem are

Hypotenuse side, h = 5 feet

Opposite side, o = 4 feet

Let a be the adjacent side.

By Pythagoras theorem,

[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]

⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]

⇒ [tex]a^{2} = 25-16[/tex]

⇒ [tex]a=\sqrt{9}[/tex]

⇒ [tex]a=3[/tex]

Thus the trigonometric ratio cosine of the angle is

[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]

⇒ [tex]cos \theta =\frac{3}{5}[/tex]

Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.

Learn more about trigonometry here

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Convert the equation below to slope intercept form 2x+y=3
pls help ASAP

Answers

9514 1404 393

Answer:

  (b)  y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

  2x -2x +y = 3 -2x

  y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b

There are 5 marbles in a bag three are yellow 2 are blue Marcus is going to choose a marble without looking and Toss a coin what is the probability that he will pull out a yellow marble and his coin lands on tails write your answer as a fraction

Answers

Answer:

yellow

Step-by-step explanation:

need help with questions 15 and 16 please

Answers

Answer:

#15: y = -5x -4

#16: y = 2/5x -4

Step-by-step explanation:

Lets start with #15:

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -4.

Substitute in the Slope-Intercept Form Equation:

y = mx -4

Pick another point and substitute its x and y values in this equation.

I chose (-1,1) and substituted as 1 = m(-1) -4

Isolate m:

1 + 4 = -m - 4 + 4

5 = -m

m = -5

The Equation in Slope Intercept Form is y = -5x -4

Let's do #16.

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -4.

Substitute in the Slope-Intercept Form Equation:

y = mx - 4

Pick another point and substitute its x and y values in this equation.

I used Fractional Points as Whole ones were not seen.

I chose (5/2,-3) and substituted as -3 = m(5/2) - 4

Isolate m:

-3 + 4 = 5m/2 - 4 + 4

1= 5m/2

m=2/5

The Equation in Slope Intercept Form is y = 2/5x - 4

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

           -Aadi x

Simplify: Square root of -16

Answers

4    

4*4 = [tex]\sqrt{x}[/tex]16                        not sure how it gets negative

GIVING BRAINLIEST Find the surface area of the net below

Answers

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​

Answers

Answer:

First box: 12.56, second box: 12.56

Step-by-step explanation:

We know the volume (v) is 25.12

We know the base's area (b) is 12.56 (from the statement supplied)

Help with this please

Answers

Answer:

$1.21 per song

Step-by-step explanation:

6 × $1.21 = $7.26

17 × $1.21 = $20.57

20 × $1.21 = $24.50

Which of the following is a solution of x^2+6x=-18

Answers

We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things

The Standard Form of a quadratic equation is ax² + bx + c = 0

If D > 0 , then the equation have two real and distinct roots/zeroes .

If D = 0 , then the equation have two equal roots/zeroes .

If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real roots

Where , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;

[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]

Now , coming back on the question ;

We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;

[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]

[tex]{: \implies \quad \sf D=36-72}[/tex]

[tex]{: \implies \quad \sf D=-18}[/tex]

As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]

[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]

1 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

c

Step-by-step explanation:

I believe its c I've done this last semester

Angle 3 and 7 are corresponding angles.

when you Subtract: 70-(-11) what is your answer

Answers

Answer:

81

Step-by-step explanation:

Which of the following expressions is equivalent to (2x)3 ?


Group of answer choices

6x4

2x3

8x3

6x3
btw the numbers on the right are exponents

Answers

Answer:

6x3

Step-by-step explanation:

....................

does anyone know this i will give brainliest

Answers

Answer: -324.4

Step-by-step explanation:

please explain how to do this

Answers

Answer:

27.4

Step-by-step explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!

Answer:

x = 11.8

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 41 = [tex]\frac{18}{x}[/tex]

⇒ 0.656 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides:

⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

Simplify the expreesion (6x²) (4x²)

Answers

Answer:

the answer is 24x⁴

first you multiply 6 by 4,

next you multiply X² by x², which really means you add the numbers on top of the variable

please help with question 2 50 points for answer and brainliest

Answers

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

The class was given a test that had a total of 125 points possible. A student then earned an 84% on the test. What are the total points that this student earned, out of the possible 125 points?
Help me please!!

Answers

Answer:

Step-by-step explanation:

84/100 = x/125

x = 105 points

The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited 60 minutes or less?

A) 2 students

B) 4 students

C) 5 students

D) 9 students

NO LINKS OR ILL GET ADMINISTRATOR TO DELETE YOU
here is one example of what i mean is in the bubble... :
(Ochamp1k )
(Beginner )
(8 answers )
(2 people helped )
(Here's link to the answer: )
( )
(tnylnk.ml/5dHq )
do not use this link ok... or any similar

Answers

Answer:

D

Step-by-step explanation:

Find the length of arc PS. Use 3.14 for pi Round to the nearest tenth. 6.48 in 739 1500 650 R

Answers

Answer:

8.3

Step-by-step explanation:

To find a length, we want to find how many radians our arc length is. Let's convert our 73-degree angle into radians, which will give us our radian length.

(73)≈1.2741

Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.

1.2741(6.48)≈8.3

Therefore, our arc length is about 8.3 inches.

I hope this helps!

( not my answer, i saw this question posted somewhere else and it was already answered :)

The length of arc PS is 8.3 inches.

The calculation is as follows;

Here we have to convert our 73-degree angle into radians, which will give us our radian inch length.

i.e.

(73)≈1.2741

Now, we know our arc length is equivalent to about 1.2741 radians.

Let's multiply this by our radius.

1.2741(6.48)

≈8.3

Learn more: brainly.com/question/16911495

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