Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold?

Answers

Answer 1

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

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

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet


Related Questions

What is the Unit price of 5 tickets for $5.00 ?

Answers

The unit price of five tickets for five dollars is $25

Answer:

$25

Step-by-step explanation:

HELP I AM CONFUSION WHATS THE ANSWERRR

Answers

The function is multiply by 3 then add 2

18 + x = 10 x=____ help

Answers

Answer:

X=-8

Step-by-step explanation:

18+x=10

-18 -18

x=-8



x = -8 i think I’m not sure.

what is the area of a right triangle with a height of 8.9cm and a base of 14.3cm

Answers

The area is 63.635

A= ab/2

a= 8.9
b=14.3

8.9 * 14.3= 127.27 (* means multiply)
127.27/2 = 63.635

what is y=4/5x+2 in standard form​

Answers

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10

Which expression represents the quotient of the model shown? -x2 O x + 3 x - 3 lolo o O -X-3 -x + 3​

Answers

Answer:

-x+3

Step-by-step explanation:

Given the expression

-x^2 + x + 3 x - 3

Factorize

(-x^2 + x) + (3 x - 3)

-x(x-1)+3(x-1)

= (x-1)(-x+3)

Hence one of the quotient is -x+3

lloooooook belooooow please help giving brainliest

Answers

Answer:

Do you need the fourmulas?

Step-by-step explanation:

Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median

Answers

Answer:

it will option A. Altitude hope it helps

The segment AD in the given triangle describes as Altitude.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given is a triangle ABC.

Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

Learn more about Altitudes of Triangles here :

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Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to
profit at least $500. Each baked good sells for $2 but costs $0.50 to make. How many baked goods
will they have to sell to meet the goal?
Answer
250
315
333
334
341

Answers

Answer:

334

Step-by-step explanation:

○=> Correct option :

[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]

○=> Steps to derive correct answer :

Money Jefferson needs to collect = $500

Selling price of each baked good = $2

Cost price of each baked good = 0.50

Number of baked goods Jefferson need to sell to meet his goal :

[tex] =\tt \frac{500}{2} \times 0.50[/tex]

[tex] =\tt 250 \times 0.50[/tex]

[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]

Thus, Jefferson needs to sell 125 baked goods.

▪︎Therefore, the correct option is (a) 125.

Hi can anyone solve this for me please solve it on a piece of paper please

Answers

Answer:

Awsten Knight

Step-by-step explanation:

Find the equivalent expressions for (x + 7)(x + 1).
x(x + 7+8)
(x +4)^2 - 9
x^2+ 8x + 7
x^2+ 7x + 8
(x+ 4)^2 +9
x(x + 8) +7

Answers

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Answer:

C d

Step-by-step explanation:

The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions

Answers

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions


[tex]4 \times {8}^{x + 1} = {2}^{2x} [/tex]
Calculate the value of x​

Answers

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

[tex]x = - 2[/tex]

Answer:

x=-5

Step-by-step explanation:

2^2×2^3(x+1)=2^2xsince they have the same Base we equat the exponents2+3(x+1)=2x2+3x+3=2x group like terms3x-2x=-3-2x=-5

In which quadrant does the terminal side of 225° angle in standard position lie

Answers

Answer:

4 th quadrant

Step-by-step explanation:

olz make me brainliest

In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.




Round 0 1 2 3 n

Points 25 75 225 675



Which equation shows the number of points available, p, in round n of the game show?

Answers

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

Explicit formula of a geometric sequence is given by,

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

Common ratio (r) of any successive term to the previous term,

        [tex]r=\frac{75}{25}=3[/tex]

First term of the sequence 'a' = 25

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

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anyone know the answer?

Answers

Answer:

well B and D look good but to be honest all I know is that out of B and D I think it can be B

Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook

Answers

Answer:

n+p=4.50

n=2p

2p+p=4.5

2p=4.5

p=$1.5

n=$3

Step-by-step explanation:

Answer:

Pencil: $1.50

Notebook: $3

Step-by-step explanation:

n = cost of notebook

p = cost of pencil

n + p = 4.5

n = 2p

substitute n into the first equation

2p + p = 4.5

3p = 4.5

p = 1.5

n = 2p

n = 2(1.5)

n = 3

A circle has its centre at the origin and has a radius of 5.
What is its equation?​

Answers

Formula is (x-h)2+(y-k)2=r2

Answer:

x²+y²=25

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x-0)²+(y-0)²=5

x²+y²=25

The table shows the number of students who ate different foods for lunch.

Food Students
Mac and cheese 6
Burger 7
Pizza 13
Salad 4
What is the ratio of students who ate pizza to students who ate mac and cheese?

a
6 : 30
b
6 : 13
c
13 : 7
d
13 : 6

Which one is it?

Answers

Answer:

13:6 D

Step-by-step explanation:

A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.

The ratio of students who ate pizza to students who ate mac and cheese is 13:6.

From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.

What is a ratio?

In mathematics, a ratio indicates how many times one number contains another.

Now, pizza: mac and cheese=13:6

Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.

To learn more about the ratio visit:

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Simplify the following expression -24 - 3.r) + (5x - 2)​

Answers

Answer:

-3 (r+8)

Step-by-step explanation:

-3 (r) -24

-3 (r) - 3 (8)

-3 (r+8)

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

The value of "X" would be 2.

To solve for x, you'd have to get it by itself. To do so, you'd simplify both sides by solv8ng the exonents of each side (2^2 = 4) and (2^3 = 8). This leaves you with 4x = 8, which you'd then divide both sides by 4. Thus getting 2 as a final answer.

I hope this helps!

(can i plz have brainlist :D hehe)

Step-by-step explanation:

Line CD contains points A (4, 6) and B (4, 3). The slope of line CD is (2 points)
positive
undefined
negative
zero

Answers

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)

m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]

Division by zero is undefined thus the slope of CD is undefined

Sarah started with two large dogs and 8 small dogs, write the ratio of large to small dogs. then interpret the ratio with words

Answers

Answer:

2:8

Sarah has 2 small dog and 8 big ones

Step-by-step explanation:

find the missing angle​

Answers

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

I need help with algebra

Answers

Answer:

D

Step-by-step explanation:

All the y's go down by -4. If they keep changing by the same number its linear

y = 3x - 2
y = 4x - 5

Answers

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)

Answers

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

BC has endpoints B(-3,-5) and C(12,12). FInd the coordinates of the midpoint of BC

Answers

Answer:

(9/2, 7/2)

Step-by-step explanation:

The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.

So, in your problem (-3 + 12)/2 = 9/2   and  (-5 + 12)/2 = 7/2

The midpoint is (9/2, 7/2)

I’m struggling with this could you help me pls

Answers

x=0, y=6
x=1, y=4
x=2, y=2
x=3, y=0
x=4, y=-2

Hope this helps :)

Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2

y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step

Answers

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ok

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