anonymous
  • anonymous
Luke filled the glasses shown below completely with water. The total amount of water that Luke poured into the glasses is 90 cubic centimeters. What is the height of glass 1? Round your answer to the nearest hundredths. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale. A cylinder with width 4.5 and height unknown is labeled glass 1, and a cone with height 5.6 and width 4.2 is labeled glass 2. 2.63 centimeters 3.82 centimeters 4.04 centimeters 5.62 centimeters
Pre-Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@mathmate @Elsa213
mathmate
  • mathmate
Are the glasses filled to the same height (h) in each one?
anonymous
  • anonymous
yes @mathmate

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More answers

mathmate
  • mathmate
|dw:1447082992333:dw| Calculate the volume of water in each glass and the sum should equal 90. Solve for h. Note: if conical glass is full, then the radius is just diameter/2=4.2/2=2.1. Double check my diagram since I don't see the original figure.
anonymous
  • anonymous
is it 5.62? @mathmate or 4.04?
anonymous
  • anonymous
@mathmate
mathmate
  • mathmate
What do your calculations give?
anonymous
  • anonymous
For what?
anonymous
  • anonymous
i think its 5.62 but idk i need the answer i have like 2 minutes left ;( @mathmate
mathmate
  • mathmate
|dw:1447084018292:dw| 5.6 cm does not look right. The equation to be set up is as follows: \(\pi (4.5/2)^2h + \pi/3(4.2/2)^2(5.6)=90\) Solve for h.
anonymous
  • anonymous
i dont understand, thanks for your help though.... @mathmate
mathmate
  • mathmate
It exactly what the question tells us, the sum of the volume of water in the cylinder and in the cone adds up to 90 cm^3.

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