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daser333 [38]
2 years ago
10

Need step by step explanation please.

Mathematics
1 answer:
ryzh [129]2 years ago
4 0

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

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The correct answer is the letter B)
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2 years ago
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Are:
eimsori [14]

Step-by-step explanation:

a. The mean can be found using the AVERAGE() function.

x = 272.7

b. The standard deviation can be found with the STDEV() function.

s = 39.9

c. The t-score can be found with the T.INV.2T() function.  The confidence level is 0.04, and the degrees of freedom is 26.

t = 2.162

d. Find the lower and upper ends of the confidence interval.

Lower = 272.7 − 2.162 × 39.9 = 186.5

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4 0
3 years ago
Factor 2m^3-12m^2+18m completely
Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

2 {m}^{3}  - 12 {m}^{2}  + 18m

= 2( {m}^{3}  - 6 {m}^{2}  + 9m)

= 2m( {m}^{2}  - 6m + 9)

Next you have to factorise the brackets :

{m}^{2}  - 6m + 9

=  {m}^{2}  - 3m - 3m + 9

= m(m - 3) - 3(m - 3)

= (m - 3)(m - 3)

=  {(m - 3)}^{2}

So the final answer is :

2m {(m - 2)}^{2}

6 0
3 years ago
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HELP I DONT GET #10! PLZ HELP!
zhenek [66]
Yes, there will be more than 100 inches because there are 12 inches in a foot so it’s 100x12 which means it’s going to be 1,200 inches per second
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Michelle is 7 years older than her sister Joan, and Joan is 3 years younger than their brother Ryan. If the sum of their ages is
Zielflug [23.3K]

Answer:

(C) 18

Step-by-step explanation:

We can create a systems of equations. Assuming m is Michelle's age, j is Joan's age, and r is Ryan's age, the equations are:

m = j + 7

j = r-3

m+j+r = 64

We can use substitution, since we know the "values" of m and j.

(j+7)+(r-3)+r = 64\\(j+7)+(2r-3)=64\\2r + j + 4 = 64\\2r + j = 60\\\\

r = 21, j = 18

So we know that Joan is 18 years old.

Hope this helped!

8 0
3 years ago
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