The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?

Answers

Answer 1

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.


Related Questions

Harold earns $10.50 per hour working at a doctor's office. On Monday he spent 1 5/12 hours filing paperwork, 1 3/4 sending emails and 2 1/3 hours making appointments. What were Harold's earnings? Round your answer to the nearest cent.

Answers

Answer:

the total earnings is $58

Step-by-step explanation:

The computation of earnings is shown below:

= Time spent in filling paperwork + time spent in sending emails + time spent in making appointments

= (1 5 ÷ 12 × $10.50)  + (1 3 ÷ 4 × $10.50)  + (2 1 ÷ 3 × $10.50)

= 14.875 + 18.375 + 24.50

= $57.75

Hence, the total earnings is $58

The same is to be considered

Need this very badly​

Answers

The answer is 140 Inches because 4 times 7 is 28, 28 times 5 is 140

Lisa is 14 years old. Her age is
two sevenths of her father's age.
How old is Lisa's father?

Answers

Answer:

49 years old

Step-by-step explanation:

14 = 2/7

14 divided by 2 = 7

7 x 7 = 49

Answer:

49

Step-by-step explanation:


Not every straight line will pass the vertical line test. What is the only type of straight line that would fail the vertical line test?

Answers

Answer:

Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9

Answer:

vertical line

Step-by-step explanation:

which is bigger 5.8 or 5.5

Answers

Answer:

5.8 is bigger

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

Since they both start with 5, you look at the next number. Which ever number is bigger is the greater number.

Please help me answer this no one else knows it.

Answers

Answer:

3/2

Step-by-step explanation:

the equation to find the slope is (y2 - y1) / (x2 - x1) so if you plug in the two points (9 - 6) / (3 - 1) you get 3/2

Answer:

[tex]\huge\boxed{\text{Slope: } \frac{3}{2}}[/tex]

Step-by-step explanation:

In order to solve for the slope between two points, we need to note that the slope between two points will be the change in y divided by the change in x, more commonly represented by this formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

We can find the change in y and change in x by subtracting the second values from the first values.

The second y value is 9, and the first is 6, so the total change is [tex]9 - 6 = 3[/tex].

The second x value is 3, and the first is 1, so the total change is [tex]3 - 1 = 2[/tex].

We divide the change in y by the change in x:

[tex]\frac{3}{2}[/tex]

Hope this helped!

Tshirt costs 69.9$ 15% off 6.25 tax deduct how much t shirt cost step by step explanation

Answers

10.92 i’m not really sure I hope this helps

Two rectangles are similar. The
ratio of the length of rectangle A
to the length of rectangle B
is 1:4. If the length of rectangle
B is 14 meters, what is the
length of rectangle A?

Answers

3.5 meters
length of rectangle A

HELPPP I’ll give 10 pointss

Answers

Answer:

3 cm

Step-by-step explanation:

Answer:

2.5cm

Step-by-step explanation:

The shapes are similar and so have a scale-factor. We can find the scale-factor by dividing one of the lengths that we know on the bigger shape by the corresponding side on the smaller shape.

For example: PQ/LM = 6/3 = 2

Now that we know to get from the larger shape to the smaller shape, we have to multiply by 2. We can use this scale factor to find the length of the side MN.

QR = MN x 2

MN = QR/2 = 5/2 = 2.5cm

multiples shared by two or more numbers are

Answers

Answer:

Common Multiples

Step-by-step explanation:

I think this is what U need hope this helps.

Answer:

Are called common multiples. Least Common multiples is called the least common multiple. The least common denominator (LCD)of two or more fractions is the least common multiple (LCM).

Step-by-step explanation:

A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.

What is the volume of the prism?

Answers

Answer:

It will be 72cm

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

9x4x2=72

Find the area of the triangle

Answers

Answer:

I believe the answer would be 12

Step-by-step explanation:

Sebastian is going to completely fill a bucket with a cleaning solution. Which
measure would he use to know how much cleaning solution the bucket holds?
volume of the bucket
area of the bucket
perimeter of the bucket
Help!!!

Answers

Answer:

Volume of the bucket

Step-by-step explanation:

Volume is how big a 3D object is. Area is the size of a 2D object/plane. Perimeter is length of all the sides added up. We would need volume for this.

Write an algebraic expression or equation to represent each word phrase.
The quotient of n and 12 is 20

Answers

Answer:

n/12 = 20

Step-by-step explanation:

quotient is the answer of dividing

so

n/12 = 20

Find the exact length of the third side.
35
28

Answers

Answer:

44.821869662

Step-by-step explanation:

Please please help please please ASAP

Answers

Answer:

5.55

Step-by-step explanation:

With reference angle 48°

perpendicular (p) = x

base (b) = 5

Now

tan 48° = p / b

1.11 = x / 5

x = 1.11 * 5

x = 5.55

The nth term of a sequence is n-4
a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.

Answers

Step-by-step explanation:

a) 1st term: 1-4= -3

2nd term: 2-4= -2

3rd term: 3-4= -1

b) FORMULA: a1 (n-1) d

a1 (first term): -3

d (difference): 1

-3 (n-1) 1

-3-1n-1= -1n-4

hope it helps! please make me brainliest..

Thank you! have a good day ahead ☺️

For khan academy. Need help immediately. Explain if you can

Answers

Download connects Q&A they have the answers on there

Brenda is selling two different nut mixes as snacks. Mix A has 3 oz. of cashews and 7 oz. of almonds. Mix B has 6 oz. of cashews and 5 oz. of almonds. Which inequalities represent the number of mix A mixes, A, and mix B mixes, B, Brenda can make if she has 72 oz. of cashews and 84 oz. of almonds?
3A+7B≤72
6A+5B≤84


3A+7B≤84
6A+5B≤72


6A+3B≤72
5A+7B≤84


3A+6B≤72
7A+5B≤84

Answers

Answer:

3A+6B≤72

7A+5B≤84

Step-by-step explanation:

Just took the exam and got it right

A container has 5 green, 4 yelow and 2 whhite marbles. Carla chooses a marble without looking. Is it the probability that she will select a green marble closest to 0, 1/2 or 1? What is P (white)

Answers

Step-by-step explanation:

A container has 5 green, 4 yellow and 2 white marbles.

We need to find the probability of selecting a green marble.

The probability of getting an event is given by :

P(E) = favorable outcomes/no. of outcomes

The probability of getting green marble will be :

[tex]P(G) = \dfrac{5}{5+4+2}\\\\=\dfrac{5}{11}[/tex]

The probability of getting white marble will be :

[tex]P(W) = \dfrac{2}{5+4+2}\\\\=\dfrac{2}{11}[/tex]

Hence, this is the required solution.

write the ratio in simplest form 36 cats to 16 dogs HELP QUICK PLS

Answers

Answer: 9 cats:4 dogs

Step-by-step explanation:

Divide each to the simplest form

Answer:

9 to 4

Step-by-step explanation:

Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:



Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work. (5 points)

Answers

Answer:

please put in the graph

The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=

Answers

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

What is the value of x?
Enter your answer in the box.
6 cm
5cm
48 cm
3x + 7
x =

Answers

Answer:I'm guessing 48

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Took the test

Find the volume of the cuboids.
(b)
4 cm
em
3 cm
3 cm
Find the volume of the following cubes.
(b)
3.5 cm
5 cm
Find the volume of the following cuboids having the dimensions.
4 cm.
breadth
- 3 cm
and height - 2 cm
(a) Length
breadth
-
3.5 cm,
1.5 cm and height
2 cm
(b) Length​

Answers

Answer:

volume of cuboids having size 4cm 3cm and 3cm is 36cm^3 because the formula to calculate volume of cuboids is length × breathe × height.

other question I didn't understand.

I need help immediately!!​

Answers

F(4)=4(4)+5
Which equals
F(4)=21

Answer:

f (4) = 21

Step-by-step explanation:

the given equation is f (x) = 4x + 5

putting the value of x = 4

we get, f (4) = (4×4) + 5

f (4) = 16 + 5

f (4) = 21

i hope u got it

Why do you think the two empires did not last very long?​

Answers

Answer:

What two empire?

Step-by-step explanation:

Question 4
What is the common difference or common ratio of this sequence?
-16, 4.-1, 1/4, ...

Answers

Answer:

crazy i need help on the same problem

Step-by-step explanation:

help ?!

i need help on the botto that says What is the cost of buying 10 tickets?

Answers

Answer:

305$

Step-by-step explanation:

305 because if it costs 61 dollars for 2 tickets and 61/2 30.5. 30.5*10=305

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?
6 + StartFraction 3 Over n EndFraction minus 8
6 + StartFraction n Over 3 EndFraction minus 8
6 + StartFraction 3 Over n EndFraction + 8
6 + StartFraction n Over 3 EndFraction + 8

Answers

Answer:

C

Step-by-step explanation:

Because yeahhhh

Answer:

C

Step-by-step explanation:

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