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Law Incorporation [45]
2 years ago
12

A toy rocket is a composite of a cylindrical body with a cone for a nose. The base of the cylinder and cone are the same size. C

alculate the entire volume of the rocket if the radius of the base is 2 inches, the height of the cone tip is 4 inches, and the height of the entire rocket is 12 inches.
Mathematics
1 answer:
inysia [295]2 years ago
6 0

The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.

<h3>What is the volume of the entire rocket?</h3>

The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

  • π = 3.14
  • r = radius 2
  • h= height = 12 - 4 = 8 inches

3.14 x 2² x 8 = 100.48 in³

Volume of the cone = 1/3 πr²h

1/3 x 2² x 3.14 x 4 = 16.75 in³

Volume of the rocket = 100.48 + 16.75 = 117.23 in³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

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pychu [463]

Answer:

Here are the answers I got I hope this is correct!! :)

Step-by-step explanation:

                                     A)  6 x 10^3

                                     B) 4 x 10^8

                                     C) 70 x 10^3

___________________________________________________________

                                                        I hope this helped you sorry for the first try c:

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3 years ago
Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they work
Natali [406]
The answer would be 21 good luck hope you get it correct
4 0
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Jodie read 42 randomly chosen books from each library in her city. Each library is the same size.
ahrayia [7]

Answer:

Yes!

Step-by-step explanation:

The definition of Representative is

A representative sample is a group or set chosen from a larger statistical population or group of factors or instances that adequately replicates the larger group according to whatever characteristic or quality is under study

so your book is whats understudy and with that you'll know that yes, yes it is

3 0
3 years ago
A farmer has 5 times as many cows as horses.
Assoli18 [71]

Answer:

The correct answer is !40 cows and 28 Horses

Step-by-step explanation:

h+5h=168

6h=168

h=168/6

h=28 horses.

5*28=140 cows.

Proof:

28=140=168

168=168

7 0
3 years ago
Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z​
Oliga [24]

<u>Part a)</u>

Given the expression

54m^3n\:+\:81m^4n^2

Apply exponent rule:    a^{b+c}=a^ba^c

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn     ∵ m^4n^2=m^3mnn

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             =2\cdot \:27m^3n+3\cdot \:27m^3mnn

Factor out the common term:   27m³n

                              =27m^3n\left(2+3mn\right)      

Therefore,

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)

<u>Part B)</u>

Given the expression

15x^2y^3z+25x^3y^2z+35x^2y^2z

Apply exponent rule:    a^{b+c}=a^ba^c

15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z

Rewrite as

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Factor out common term 5y²x²z

                                                =5y^2x^2z\left(3y+5x+7\right)

Therefore,

15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)

8 0
3 years ago
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