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A fish tank, in the shape of a rectangular prism with dimensions 70 centimeters by 44 centimeters by 38 centimeters, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 6 cm and a height of 57 centimeters.

 

How much water spills out of the tank?

 

Enter your answer in the box. Use 3.14 for pi.

 

= Blank cm³

 Jun 11, 2019
edited by jiminblossoms  Jun 11, 2019
 #1
avatar+248 
+1

70*44*38=117,040

117,040*0.95=111,188

 

6^2=36

36*3.14=113.04

113.04*57=6,443.28‬

 

111,188-6,443.28‬=104,744.72‬cm^2

Hope that helped!

 Jun 11, 2019
 #2
avatar+44 
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Update:

 

The answer is 591.28 

 

Edit: I apologize for not saying "Thank you" even if your answer is wrong or correct. Thank you for taking the time to read my question and responding. I'm still new to this website. So, I don't know how to respond to your guys responses. I'm sorry if I disrespected anyone by not saying "Thank you." But I do mean it, I'm so sorry I feel bad for it. 

 Jun 11, 2019
edited by jiminblossoms  Jun 12, 2019
 #4
avatar+102466 
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You still should thank people for the time they have spent, even if you are sure their answer is incorrect!

Melody  Jun 11, 2019
 #5
avatar+363 
-4

I made a presentation on how to fully reply here for you if your in need of it? 

 

Link: https://web2.0calc.com/questions/what-is-the-exact-area-of-the-sector-in-terms-of#r2

HiylinLink  Jun 14, 2019
 #3
avatar+102466 
+2

A fish tank, in the shape of a rectangular prism with dimensions 70 centimeters by 44 centimeters by 38 centimeters, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 6 cm and a height of 57 centimeters.

 

Volume of log = \(\pi r^2h = 3.14*36*57=6443.28cm^3\)

 

Volume of fish tank = \(70*44*38 = 117 \;040 \; cm^3\)

 

Volume of tank not already filled with water = 5% * 111 040 = 5852cm^2

 

Amount that will flow over = 6443.28-5852 = 591.28 cm^3

 Jun 11, 2019

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