A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long. How much gas, in cubic feet, can fit in the tank?

Answers

Answer 1

Answer:

[tex]6,157.5ft^3[/tex]

Step-by-step explanation:

We are looking for the volume of the tank which has a cylindrical shape.

The volume of a cylinder is given by:

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

where r is the radius of the circular base and h is the height.

In this case we have:

diameter: [tex]d=14 ft[/tex]

and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]

also the height is: [tex]h=40ft[/tex]

we substitute these values into the equation to find the volume:

[tex]V=(3.1516)(7ft)^2(40ft)[/tex]

solving the expression:

[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]

the tank can fit [tex]6,157.5ft^3[/tex] of gas

Answer 2

Amount of gas filled in tank is 6,154.4 feet³

Volume of cylinders:

Given that;

Diameter of cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Find:

Amount of gas filled in tank

Computation:

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

Find out more information about 'Volume of tank'.

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Related Questions

A football team has P points.

P = 3W + D

W is the number of wins

D is the number of draws

If a team has 53 points from 33 games, with 11 draws, how many games did the team lose

Answers

Answer:

They must have lost 19 games.

Step-by-step explanation:

If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.

The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year

Answers

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

what is the slope of the line 7x+2y=5

Answers

Answer:

slope = -7/2x

Step-by-step explanation:

you can solve the equation in order to make it slope-intercept form.

7x + 2y = 5

2y = -7x + 5

divide everything by 2

it becomes y = -7/2x + 5/2

The required slope of the line is m = -7 / 2.

What is a Line??

A line can be defined by the shortest distance between two points is called a line.

Method 1

7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5  - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5

Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2

Thus, the required slope of the equation is m = -7/2

Learn more about lines here:

brainly.com/question/2696693

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Use Heron’s Formula, that is, the area of a triangle is , where the triangle contains sides a, b and c and to find the area of the triangle with side lengths: .a=7/2 b=4/3 c=9/4

Answers

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

Mark walked 15 miles in 6 hours
Calculate his average speed

Answers

Average speed = 2.5 miles

Divide 6 from both sides.

6/6 = 1

15/6 = 2.5

So, overall Mark walks 2.5 miles per hour.

hope it helps!

The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?

Answers

Answer:

210 adult tickets were sold

Step-by-step explanation:

let x be the number of adult tickets sold

let y be the number of children tickets sold

x+y=260 equation 1

9x+5y=2140 equation 2

multiply equation 1 by 5

multiply equation 2 by 1

5x+5y=1300

9x+5y=2140

subtract equation 1 from 2

4x=840

x=840/4 =210  tickets

substitute for x in equation 1

210+y=260

y=260-210=50

What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30

Answers

Answer:

X=6 y=3 point form (6,3)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

I just took the test and got 100%

Given a triangle with b = 7, C = 3, and A = 37° what is the length of a? Round to the nearest tenth.
a. 4.9
b.5.9
c.5.5 d. 4.3

Answers

Answer: 4.9

Step-by-step explanation:

I need more help please!!! Will give brainliest! I only need b c and d done please!

Answers

Answer:

Step-by-step explanation:

i don’t know the rest but i know b is 144

Answer:

B) 144 seats would be full

   Work: 72% x 200 = 144

C) the cost would be $5.4

   Work: 4.5 × 20 / 100 = 0.9

               4.5 + 0.9 = 5.4

D) 24% of the 25 different candies

  Work: 6/25 = 0.24

             Move the decimal point 2 places to the right and add

              the percent sign %.

              0.24 becomes 24%

hope this helps

How do you solve 15 less than or equal to
3 - 4s

Answers

Answer:

-3 is greater than or equal to s

Step-by-step explanation:

subtract 3 on both sides

then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)

Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?

Answers

Answer:

Richard gets 15 more sweets than Natasha.

Step-by-step explanation:

Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :

Let ratio be units,

[tex]5 units = 75 sweets[/tex]

[tex]1 unit = 75 \div 5[/tex]

[tex]1 unit = 15 sweets[/tex]

Now we have to find how many sweets does Natasha and Richard has :

Richard (ratio of 3),

[tex]3 units = 15 \times 3[/tex]

[tex]3 units = 45 sweets[/tex]

Natasha (ratio of 2),

[tex]2 units = 15 \times 2[/tex]

[tex]2 units = 30 sweets[/tex]

In order to find how many sweets Richard has more than Natasha, you have to substract :

[tex]45 - 30 = 15 sweets[/tex]

Answer:

15

Step-by-step explanation:

the answer is 15

A pilot is flying a plane 20000 ft above the ground.The pilot begins a 2 descent to an airport runway.How far is the airplane from the start of the runway(in ground distance)

Answers

Answer:

381623 ft

Step-by-step explanation:

Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.

[tex]tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft[/tex]

The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.

Sid starts with savings of £13
Tim starts with no savings

Each week from now,
- Sid will save £3.50 and Tim will save £3

In how many weeks will Sid and Tim have savings in the ratio 17 : 9

Your final line must say, 17 : 9 in weeks

Answers

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

[tex]\frac{13+3.50x}{3x}=\frac{17}{9}[/tex]

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

[tex]x=\frac{117}{19.5}[/tex]

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

Mrs. Rodriguez bought 3 tickets for a concert. She also paid for a poster at the concert. Mrs. Rodriguez paid a total of $102 for the tickets and the poster. The equation 3t + p = 102 can be used to find p, the amount Mrs. Rodriguez paid for the poster. If Mrs. Rodriguez paid $29 for each ticket, t, then how much did she pay for the poster

Answers

Answer:

15

Step-by-step explanation:

102-(29 x 3)

Answer:

p=15

Step-byexplanation:

3t+p/102

3(29)+p=102

87+p=102

p=15

put these fractions in order of size, smallest to largest 1/3 2/5 3/8

Answers

Answer:

3/8, 2/5, 1/3

Step-by-step explanation:

From smallest to largest is 3/8 2/5 1/3

certain circle can be represented by the following equation.
x^2+y^2+18x+14y+105=0x
2
+y
2
+18x+14y+105=0x, squared, plus, y, squared, plus, 18, x, plus, 14, y, plus, 105, equals, 0
What is the center of this circle ?
((left parenthesis
,,comma
))right parenthesis
What is the radius of this circle ?
units

Answers

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

Answer:

(-4.8)

7 unit

i just did the test

Step-by-step explanation:

what will happen to the volume of a cylinder if the length if the height is tripled?

A. Double
B. Stay the same
C. Triple
D. 9 times as large

Answers

Answer:

Triple

Step-by-step explanation:

V = π * r^2 *h

h is directly proportional to V so when h increases V increases.

This is a linear relationship so if h is tripled the volume will be tripled as well.

if r tripled then V would be 9 times as large since r has a square relationship with V.

If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.



Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other venues.

A circle graph titled School trip location. 40 percent is a, 20 percent is b, 13 percent is c, 27 percent is d.

The circle graph shows the data from the table, but the labels are missing.

Choose the correct labels.

a =

b =

c =

d =

Answers

Answer:

a = state capital

b = nature center

c =  museum

d = other

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

J/-2 + 7 = -12 Please help guys!

Answers

Answer:

J=17

Step-by-step explanation:

J/-2 + 7 = -12

multiply both sides by -2 to cancel out the J/-2 and turn it into J + 7 = 24

transfer the 7 to the other side to get J = 24 - 7

J = 17

hopefully this helps.

Find the area. The figure is not drawn to scale.
1.
36 in.
40 in.
33 in.
-

Answers

Answer: 47,520

Step-by-step explanation: 36 times 40 times 33

Help me
F (x)=-4x^2+10x-8
What is the value of discrminant of f
How many distinct real number zeros does f have

Answers

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots

can someone please help me i don’t get this at all!?

Answers

She bought N pencils last month for 288, as the amount is in pennies. This month she bought N+12 for 720.

288/N = 720 / (N+12)
288(N+12) = 720N
288N + 3456 = 720N
3456 = 720N - 288N
3456=432N
N=8

She bought 8 pencils last month for 288, which is 36 cents each. And she bought 20 pencils this month for 720 which is 36 cents each. Hope this helped :)

Farmer Bob's daughter wanted to put carpet in her goats pen. The pen is 12 feet wide and 12 feet long. How many square feet of carpet does she need for the pen

Answers

Answer:

She would need 144 square feet of carpet.

Step-by-step explanation:

Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.

You roll a fair 6-sided die. what is the probability rolling greater than 4

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!

x + 18 greater than or equals 26

Answers

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) 26 (-18)

x 26 - 18

x 8

x ≥ 8 is your answer.

~

Answer:

x+18 ≥ 26

Step-by-step explanation:

≤ is the less than or equals sign

≥ is the greater than or equals sign

x+18 ≥ 26

(This also means x must be ≥ 8)

It costs 31.25 for 1 box of candy and 4 large bags of popcorn at a movie theatre. For 3 boxes of candy and 5 large bags of popcorn it costs 46.50 how much does 1 bag of popcorn cost

Answers

Answer:

$6.75

Step-by-step explanation:

$31.25 = C + 4B C for box of candy and B for large bags of popcorn

$46.50 = 3C + 5B

3($31.25 = C + 4B)

$93.75 = 3C + 12B

-46.50. -3C. -5B

$47.25 = 7B

÷7. ÷7

$6.75. = B

ok, im failing math rn so plz help​

Answers

Answer:

-3/4

Step-by-step explanation:

Point A is at (-4,3) and Point B is at (4,-3)

The slope is at

m = (y2-y1)/(x2-x1)

   = (-3 -3)/(4 - -4)

   = (-3-3)/(4+4)

    = -6/8

     = -3/4

what does this expression represent five times the quotient of some number and ten

Answers

Answer:

5(n/10)

Step-by-step explanation:

quotient of some number and ten=n/10

five time=*5

put it togther=5(n/10)

Translate the difference of a number and 7 is -8 into an equation.

Answers

Answer:

-1

Step-by-step explanation:

7 - 8 = -1

hope its helpful

Answer:

n - 7 = -8

Step-by-step explanation:

hey can anyone pls help me out in dis!!!!!!!!!

Answers

Answer:

Look at the attachment

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