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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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zheka24 [161]

Answer:

B. x ≤ 5

Step-by-step explanation:

This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be <u>less than</u> the point it closes on. If the arrow is going right, then all values of x are going to be <u>greater than</u> the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

---------------------------------------------------------------------------

For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

hope this helps!

7 0
2 years ago
2xy dx + (x²-2y²) dy=0<br>solve this differential equation​
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Answer:

The solution to the given problem is

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Step-by-step explanation:

Please check below for the required solution for the given problem

5 0
3 years ago
Use the table to determine what percent of students prefer school uniforms and what percent do not prefer school uniforms. What
Ahat [919]
16 + 4 = 20

16/20 = 80% or 4/5 (20 x 5 = 100, 16 x 5 = 80)

4/20 = 20% or 1/5 (20 x 5 = 100, 4 x 5 = 20)

The relationship is that more students do not prefer school uniforms compared to the ones that do prefer them. 

Hope this helps!
3 0
3 years ago
Equivalent fractions
lyudmila [28]

Answer:

number 1. 5/4  number 2.  7/4 number 3. 1/5

Step-by-step explanation                                                                                           It's the shaped parts. Hope this helps : )

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Find the surface area of the regular pyramid
love history [14]

Greetings from Brazil!

4\dfrac{1}{2} =\dfrac{9}{2}

Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2

Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2

At=Af1+Af2\\At=36+20,25\\At=56,25~m^2

I hope I helped you! =)  

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