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yawa3891 [41]
3 years ago
14

Line segment AB has endpoint A locates at the origin. Line segment AB is longest when the coordinates of B are

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0

im pretty sure the answer is C


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Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylin
lianna [129]
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ = \frac{4}{3} π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.

R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = <span>π r² h
</span><span>V₁ = </span>3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³

b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × <span>V₂ 
</span>Vₐ = 3 × <span>\frac{4}{3} π r³
</span>Vₐ = 3 × \frac{4}{3} 3.14<span> (6.5 cm)³</span>
Vₐ = 3,449.3 cm³

c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V = \frac{ V_{1}}{ V_{a} } ×100 
V = \frac{3,449.3}{5,173.9} ×100
V = 0.6666 ×100
V = 66.66%
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Answer:

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Step-by-step explanation:

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GREYUIT [131]
0.31 = 31%
% is out of 100 so 31% is 31 out of 100 which is 31/100 :)
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Nataly_w [17]
9/14 the anwser its really easy but i understand

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