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

(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:

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  

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

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.

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.

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.

to find the sum of 4 and -5.

Answers

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

(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

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

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

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

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:

https://brainly.com/question/18269861

#SPJ2

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.

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.

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!

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.

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)

*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

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

https://brainly.com/question/8972906

#SPJ2

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:

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]

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

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

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.

(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....

Increase £36.00 by 10%

Answers

Answer:

3.6

Step-by-step explanation:

10% = .10

36 * .10 = 3.6

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

Other Questions
_________is the part of the marketing mix that aims at satisfying consumers by providing features and benefits. (Enter one word in the blank.) "No man undertakes a trade he has not learned, even the meanest; yet everyone thinks himself sufficiently qualified for the hardest of all trades- that of government"- socrates what does this quote mean? Aarons age is three years less than Devons age the sum of their ages is 31 find each of their ages A softball player is testing her physics knowledge and tosses a softball upward from the top of a building. The building is 100 m tall and the ball starts with a velocity of 10 m/s.a. What is the maximum height the ball reaches and at what time? b. How much time does it take for the ball to go from h=50 m to h=0 m on the way down? c. What is the velocity when h=50 m? Onlineshop, an e-commerce Web site, collects huge repositories of data about customer activities on the site. This information is sorted and organized to produce data that can help manage the firm.Which of the following type of information systems is exemplified in the scenario?A. A transaction processing systemB. A management information systemC. An intelligent systemD. A decision support system Which economic system has the most government control? (Select the best answer.) A planned economy . A traditional economy . A mixed economy . A market economy the equation of a and 8 number Standard writing, usually arranged in paragraphs and complete sentences, isknown as set up and solve an equation for each problem below. Why did Spanish declare war on the English in the 1500s What form of theatrical entertainment drew the largest audiences in late-nineteenth-century America? what is the answer to 7x-35=30+6x A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each Why do people revolt against their government?? 1)Determine, in terms of unit vectors, the resultant of the five forces illustrated in the figure, Consider F1=20 N, F2= 12 N, F3=17 N. F4=15N and F5=9N 2)In the situation illustrated below, two blocks of Ma and Mb masses are suspended between two walls using ropes. If Ma=2kg, calculate the tension developed in the segments AB, BC and CD and the mass of block B for the equilibrium condition 3)In the figure below, the crane and its AB jib have together 390kg and center of mass in G1. If the 90kg BCD cage and the 80kg man have center of mass located in G2 and G3, respectively, (a) calculate the angle of inclination of the boom for which the crane is on the eminence of tumbling. (b) for which size the boom should be reduced (retracting its point B) so that it can be positioned horizontally (=0) and the crane does not tip over. Consider that the cage always stays in the horizontal position 4) A 1.7kg plate with center of mass in G is supported by a bar and three cables, as shown in the figure below. Determine the voltage developed in the AB, AC and DE cables and the reaction (there is only one) at point O for the equilibrium condition When planning for the future of a city.Urban planners would most likely consultA. physical geographersB. meteorologistsC. cartographersD. demographers Simplify the following: [tex]\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}[/tex] Help please and thank you. During a trip Sara knits a scarf at the rate of 469 millimetre everyday if her trip lasts 8 days how much of the scar will she have knitted by the end of the trip The cable is 10 feet above the roadway at horizontal distances of about from the left support.