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hjlf
2 years ago
14

a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed

to fill the tank completly.​
Mathematics
1 answer:
son4ous [18]2 years ago
5 0

Answer:

20,400\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the tank

V=(60)(15)(34)=30,600\ cm^{3}

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

(2/3)30,600=20,400\ cm^{3}

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Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

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Applying Pythagoras theorem

hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}

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