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maria [59]
3 years ago
14

Four golf balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the c

ylinder. The diameter of each ball is 4cm.
What is the volume of the cylinder rounded to the nearest cubic centimeter?

What is the total volume of the four balls rounded to the nearest cubic centimeter?

What percent of the volume of the container is occupied by the four balls?

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0
Hello,
Please, see the attached files.
Thanks. 

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What is the error in this problem
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Answer:

12). LM = 37.1 units

13). c = 4.6 mi

Step-by-step explanation:

12). LM² = 23² + 20² - 2(23)(20)cos(119)°

    LM² = 529 + 400 - 920cos(119)°

    LM² = 929 - 920cos(119)°

    LM = \sqrt{929+446.03}

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          = 37.08

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13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°

    c² = 29.16 + 12.96 - 38.88cos(58)°

    c² = 42.12 - 38.88cos(58)°

    c = \sqrt{42.12-20.603}

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Brad wants to fill his cylindrical container with motor oil. The cylinder has a radius of 6 centimeters and a height of 12 centi
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Find an equation of the sphere with points P such that the distance from P to A(−3, 4, 4) is twice the distance from P to B(6, 3
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Answer:

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Step-by-step explanation:

We have the formula for distance, we get

\sqrt{(x+3)^2+(y-4)^2+(z-4)^2} =2· \sqrt{(x-6)^2+(y-3)^2+(z+1)^2}

(x+3)^2+(y-4)^2+(z-4)^2=4·[(x-6)^2+(y-3)^2+(z+1)^2]

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3x²+3y²+3z²-54x+16y+16z=-143

(x²-54x/3)+(y²+16y/3)+(z²+16z/3)=-143/3

(x²-54x/3+729/9)+(y²+16y/3+64/9)+(z²+16z/3+64/9)=-143/3+729/9+2·64/9

(x-27/3)²+(y+8/3)²+(z+8/3)²=428/9

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