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elena55 [62]
3 years ago
12

8.1 Lesson 10 Problem Set (8.EE.A.4)

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

q

Step-by-step explanation:

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Need step by step explanation please.
ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
Which pair is made up of prime numbers 11 &amp; 33 , 42 &amp; 56 , 37 &amp; 67, 57 &amp; 97
Cerrena [4.2K]

Answer:

37 & 67

Step-by-step explanation:

11 & 33

  • 11 - 1, 11
  • 11 is prime
  • 33 - 1, 3, 11, 33
  • 33 is composite number
  • 11 & 33 is incorrect

42 & 56

  • 42 - 1, 2, 3, 6, 7, 14, 21, 42
  • 56 - 1, 2, 4, 7, 8, 14, 28, 56
  • Both 42 and 56 are composite numbers
  • 42 & 56 is incorrect

37 & 67

  • 37 - 1, 37
  • 67 - 1, 67
  • Both 37 and 67 are prime numbers
  • 37 & 56 is correct

57 & 97

  • 57 - 1, 3, 19, 57
  • 97 - 1, 97
  • 57 is a composite number, 97 is a prime number
  • 57 & 97 is incorrect
3 0
3 years ago
Use the substitution method to solve.<br><br> y=5−3x<br> 5x−4y=−3
Vadim26 [7]
Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2
6 0
3 years ago
Fh
scZoUnD [109]

Answer:

ok so just get the v12{{9-))0} and =14

Step-by-step explanation:

4 0
2 years ago
Sets M and F are defined as follows.
a_sh-v [17]

Answer:

intersection is /c,d/

Step-by-step explanation:

circle the common members and list them

6 0
3 years ago
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