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

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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

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Answer:

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Step-by-step explanation:

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

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Answers

Answer:

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Step-by-step explanation:

10x-5y+2x-37

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

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Answers

Answer: See below

Explanation:

Slope-int form: y = mx + b

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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

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y = -100x + 1000

Step-by-step explanation:

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Step-by-step explanation:

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Translate each sentence into a equation

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Answer:

1.     q + 4t = 29

2.     n² + 12 = p /4

3. ( 1/2  j) -5 = k+12

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

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sum means +

is   means  =

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

times means  to multiply ( x)

less means  to subtract  ' - '

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

The answer is

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Step-by-step explanation:

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Simplify

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

can u plzz explain me the question

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

2 places after the decimal point.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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Answers

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What is Recursive formula?

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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(QUICK RESPONSE!) Fiona enlarges a parallelogram that has a perimeter of 17 meters. What is the perimeter of the enlarged parallelogram?
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it C.102 meters

Answers

Answer:

c.102 meters

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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Answers

Answer:

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

Step-by-step explanation:

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

Isolate 2h

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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]

(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....

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

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.

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