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eimsori [14]
3 years ago
11

(03.06 MC)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.
2.63 centimeters
3.82 centimeters
4.04 centimeters
5.62 centimeters

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Glass 1 is a right circular cylinder and Glass 2 is a cone. The total volume of water in both the glasses is 100 centimeters cubed. Some given dimensions are:

Right Circular Cylinder:

diameter = 5, thus radius is half of that, radius = cm

height = we need to find

(Note: Formula for volume, V, is )

Cone:

diameter = 6, thus radius is half of that, radius =  cm

height = 5.2 cm

(Note: Formula for volume, V, is )

Now adding the 2 volumes and equating to 100, and then solving for h will give us our answer (we will use π as 3.14). Let's do this.

pir^2+1/3pir^2h=100

(3.14)(2.5)^2h+1/3(3.14)(3)^2(5.2)=100

19.625h+48.984=100

19.625h=51.016

h=51.016/19.625=2.60 cm

Hence height of glass 1 is 2.60

2.63 cm

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Answer:

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Step-by-step explanation:

According to the given statement:

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Plot the graph and you get possible solutions:

(12,1.625)..

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The seventh grade students are having an end-of-year party in the school
Ahat [919]

The complete statement is:

  • Determine the number of tables by dividing 754 by 6
  • If there is a remainder, the answer will need to be rounded.
  • There is a remainder, so 126 tables are needed.

<h3>How to determine the number of tables?</h3>

The given parameters are:

Students = 754

Student per table = 6

The number of tables is calculated as:

Table = Students / Student per table

This gives

Table = 754/6

Evaluate the quotient

Table = 125.7

Approximate

Table = 126

Hence, the complete statement is:

Determine the number of tables by dividing 754 by 6

If there is a remainder, the answer will need to be rounded.

There is a remainder, so 126 tables are needed.

Read more about quotient at:

brainly.com/question/629998

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