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aliina [53]
3 years ago
9

A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball in the co

ntainer has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Murljashka [212]3 years ago
8 0
The amount of space not occupied by the rubber balls is given by:
Volume=(volume of the container)-(volume of the rubber balls)
volume of the container is given by:
V=πr²h
V=π*(5/2)²(20)
V=392.70 cm³

Volume of each ball is:
V=4/3πr³
V=4/3π(2.5)³=65.45 cm³
volume of four balls
65.45×4=261.8 cm³

The volume of the container that is not occupied by the balls will be:
V=392.70-261.8
V=130.9 cm³
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Given

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marysya [2.9K]

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Step-by-step explanation:

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5 0
2 years ago
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A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is
Aleks [24]
<h3><u>Answer</u> :</h3>

See the attachment for better understanding.

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u>: Length of string (AC) = 300ft

<u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u>: Height of the kite from ground (AB)

:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}

:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}

:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}

:\implies\sf\:H=150\sqrt{3}

:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}

Hope it helps !

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