Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket
completely with water. What is the maximum number of gallons of water the rocket can
hold?
(231 in 3 = 1 gallon)
14in
16in
4in

Raymond Built A Rocket" Made From A Cylinder And A Cone. He Filled The Rocketcompletely With Water. What

Answers

Answer 1

Answer:

Rocket can hold maximum 4.5 gallons of water.

Step-by-step explanation:

Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]

             = [tex]\frac{224\pi }{3}[/tex] cubic inch

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here r = radius of the base

h = height of the cylinder

Volume = [tex]\pi (4)^{2}(16)[/tex]

             = 256π cubic inches

Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]

                                   = [tex]\frac{992\pi }{3}[/tex]

                                   = 1038.82 cubic inches

Since 231 cubic inches volume of a rocket can hold water = 1 gallon

Therefore, 1038.82 cubic inches space can hold water

= [tex]\frac{1038.82}{231}[/tex]

= 4.497

4.5 gallons

Rocket can hold 4.5 gallons of water.


Related Questions

Write a recursive formula for the sequence.
11, 7, 3, -1, ...

Answers

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]

What is Recursive formula?

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term [tex]a_{1} =11[/tex]

second term [tex]a_{2}=7[/tex]

Common difference = 7-11 = -4

Third term [tex]a_{3}=3[/tex]

Common difference = 3-7 =- 4

Fourth term [tex]a_{4}=-1[/tex]

Common difference = -1-3= -4

Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]

Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]

Learn more about Recursive formula here

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Translate each sentence into a equation

Answers

Answer:

1.     q + 4t = 29

2.     n² + 12 = p /4

3. ( 1/2  j) -5 = k+12

4.  3b -100 = 6xb

5.  g³ = 24 x (g+4)

Step-by-step explanation:  Math language is very simple but needs to be learnt

of   means   x or mulitply

sum means +

is   means  =

a quotient of x and y = x/y which means division

times means  to multiply ( x)

less means  to subtract  ' - '

x to the third power means  x to the exponent 3  or    x³

How’d do you simplify it?

Answers

Answer:

The answer is

[tex]8 \sqrt{3} \: {m}^{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{192 {m}^{4} } [/tex]

First of all factor out the perfect square

From the question the perfect square is 64

We have

[tex] \sqrt{64 \times 3 {m}^{4} } [/tex]

The root of a product is equal to the product of the roots of each factor

So we have

[tex] \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ [/tex]

Simplify

[tex] \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} [/tex]

So we have

[tex]8 \times \sqrt{3} \times {m}^{2} [/tex]

We have the final answer as

[tex]8 \sqrt{3} \: {m}^{2} [/tex]

Hope this helps you

six less than three times a number. write an algebraic expression to represent the given phrase

Answers

Answer: 3x-6

Step-by-step explanation:

Let the number be x

3 times the number is 3x

6 less than 3x is 3x-6

ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9

Answers

Answer:

9

Step-by-step explanation:

First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.

A spinner with 50 evenly sized sections and numbered 1 to 50 is spun. What is the probability that the number spun is 33 given that the number is odd?

Answers

1/50 chance that it’ll land on 33

Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?

Answers

Answer:

1000 calories

Step-by-step explanation:

2000-(1400-400)

Answer:

800

Step-by-step explanation:

2000−1200

=2000−1200

=2000+−1200

=800

Solve for xxx. Enter the solutions from least to greatest. 2x^(2)-2x-180 =0

Answers

Answer:

  {-9, 10}

Step-by-step explanation:

The equation can be factored as ...

  2x^2 -2x -180 = 0

  x^2 -x -90 = 0 . . . . divide by 2

  (x +9)(x -10) = 0

Solutions are the x-values that make the factors zero:

  -9, 10

PLSSSS HEP ITS URGENT!!

1+6=6x6/6

Answers

Answer:

7=6

Step-by-step explanation:

since it is times 1 plus 6 = 6 times 6 divided by 6

1+6=6x6/6

1+6 is 7

6 times 6 is 36  then 36 divided by 6 is 6

then you get  7=6  

Toby is packaging 21 baseball cards and 12 football cards to sell at the swap meet. Each packet will have the same number of cards. Each packet will have the cards for only one sport. What is the greatest number of cards you can place each packet? How many packets would it be for each sport?

Answers

Answer: The greatest number of cards you can place each packet = 3

There would be 7 packets of baseball cards and 4 packets of football cards.

Step-by-step explanation:

Given: Number of baseball cards =21

Number of  football cards = 12

Each packet will have the same number of cards.

Each packet will have the cards for only one sport.

Then, the greatest number of cards you can place each packet  = GCD (21,12) i.e. greatest common divisor of 21 and 12

Since 21 = 3 x 7 and 12 = 2 x2 x3

so, GCD(21, 12)=3

So, the greatest number of cards you can place each packet = 3

Number packets of baseball cards  = [tex]\dfrac{21}{3}=7[/tex]

Number packets of football cards = [tex]\dfrac{12}{3}=4[/tex]

So, there would be 7 packets of baseball cards and 4 packets of football cards.

URGENT
in two or more complete sentences, describe a system of equation in which subtraction would be the most efficient way of solving the system.

Answers

Answer:

a system of equations in which subtraction would be the most efficient way of solving the system is: A system of equations in which one of the variables has exactly the same coefficient in both equations. Solve the system by the elimination method. ... Solve the system by the elimination method.

x/10 + y/1000 = 1

Can you please rewrite this in slope-intercept form


Please help !!!

Answers

Answer: See below

Explanation:

Slope-int form: y = mx + b

x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000

Therefore, y = -100x + 1000

Answer:  

Slope-int form: y = mx + b

x/10 + y/1000 = 1

y/1000 = -x/10 + 1

y = 1000(-x/10 + 1)

y = -100x + 1000

Step-by-step explanation:

to find the sum of 4 and -5.

Answers

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

What is the value of (–7 + 3i) – (2 – 6i)?

Answers

Answer:

9 (i - 1)

Step-by-step explanation:

Simplify the following:

-7 + 3 i - (-6 i + 2)

Hint: | Distribute -1 over 2 - 6 i.

-(2 - 6 i) = -2 + 6 i:

-2 + 6 i - 7 + 3 i

Hint: | Evaluate -2 + 6 i - 7 + 3 i.

-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:

9 i - 9

Hint: | Factor common terms from 9 i - 9.

Factor 9 out of 9 i - 9 giving 9 (i - 1):

Answer: 9 (i - 1)

(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides

Answers

Here is your answer

x = 17.5

Make as brainliest plzz....

Hope this answer is helpful....

I need to know what the answer to this is in radical form √6⋅√11⋅√5

Answers

Answer:

  √330

Step-by-step explanation:

The product of radicals is the radical of the product.

  (√6)(√11)(√5) = √(6·11·5) = √330

__

This cannot be simplified, because there are no square factors.

need help finding the area​

Answers

Answer:

256inches

Step-by-step explanation:

8×16 + 8×16

128+128=256

Answer: 288 I think.

Step-by-step explanation: First you find the area of the first rectangle, then the second. You do this by splitting both rectangles and finding the area there. Add those up. Then you want to find you the area for the corners. Add that and there’s your answer.

How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?​

Answers

Answer:

2 places after the decimal point.

Step-by-step explanation:

Answer:

2 places after the decimal point

Step-by-step explanation:

[tex]\frac{1}{100}[/tex] =0.01

Hav a nice day

o the
What is the x-coordinate of the point plotted below?

Answers

Answer:

The x coordinate is 2

Step-by-step explanation:

Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)

The x-coordinate of the point plotted is (2, 0)

What is Coordinate Geometry?

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

We need to find the x-coordinate of the point plotted  in the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.

The point is at 2 on x axis and y value will be zero

(2, 0) is the x coordinate of the given point

Hence,  the x-coordinate of the point plotted is (2, 0)

To learn more on Coordinate geometry click:

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Increase £36.00 by 10%

Answers

Answer:

3.6

Step-by-step explanation:

10% = .10

36 * .10 = 3.6

simplify this expression 10x-5y+2x-37

Answers

Answer:

12x-5y-37

Step-by-step explanation:

10x-5y+2x-37

10+2

12x-5y-37

The answer too this problem is 12x-5y-37

Solve for h: 7a=10+2h​

Answers

Answer:

[tex] \frac{7a}{2} - 5 = h[/tex]

Step-by-step explanation:

[tex]7a = 10 + 2h[/tex]

Isolate 2h

[tex]7a - 10 = 2h[/tex]

Divide both sides of the equation by 2

[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]

Simplify

[tex] \frac{7a}{2} - 5 = h[/tex]

Which graph represents a reflection in the y-axis?
Please and thank you

Answers

Answer:

B

Step-by-step explanation:

A reflextion across the y axis is across the center line.

(QUICK RESPONSE!) Fiona enlarges a parallelogram that has a perimeter of 17 meters. What is the perimeter of the enlarged parallelogram?
A.30 meters
B.73.5 meters
C.102 meters
D.105 meters

it C.102 meters

Answers

Answer:

c.102 meters

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3 1 8 5 7 2 1 6 find the mode

Answers

Answer:

1

Step-by-step explanation:

Mode is 1 as 1 has repeated the most number of times

Answer:

The mode is 1.

Step-by-step explanation:

The mode is 1 because that number occurs the most number of times.

Hope I helped!

Which of the tables represents a function? (4 points)
Please help i’m having a really hard time

Answers

Answer:

table A

Step-by-step explanation:

side note: if the outputs have the same numbers there not a function

(please helpppp!!)What are the questions for Module one DBA for algebra? (Flvs)

Answers

Answer:

you should try contacting your instructor if you dont have access to them,

There are three choices of jellybeans: grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange?

Answers

can u plzz explain me the question

Answer:

5/10, or 1/2

Step-by-step explanation:

If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.

3/10+2/10=5/10

10/10-5/10=5/10

Simplified: 1/2

I need help with this- I've never seen a graph like this- haha

Answers

Answer:

I think it's the third answer.

Step-by-step explanation:

The line is going through those points.

*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram

Answers

Answer:

a)systematic list

Step-by-step explanation:

hope it helps

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