1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
(6 x2 - 6x + 4) - (x2 – 5x – 9)
DedPeter [7]
The answer is 9x+13
4 0
3 years ago
Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The
zloy xaker [14]
We have that

smaller figure
ha=8.7
ra=1.6

larger figure
hb=10.44
rb=1.92

ha/hb=8.7/10.44----> 0.83
ra/rb=1.6/1.92-------> 0.83
ratio smaller figure to the larger figure
1.6/1.92-------> divided by 1.6 both members[1.6/1.6]/[1.92/1.6]-------> 1/1.2

the ratio ha/hb is equal to the ratio ra/rb
so
the smaller figure and the larger figure are similar
and
the ratio smaller figure to the larger figure is equal to---->  1/1.2

the answer is
the option yes 1/1.2
8 0
3 years ago
1
EleoNora [17]

Answer:

ummmmmm peace out

Step-by-step explanation:

8 0
2 years ago
Suppose the diameter of a circle is 4 units. What is its circumference?
Murrr4er [49]
12.5663706144 or yes, 12.57
3 0
3 years ago
Please help me with this problem! I am so confused: This system of equations shows x by itself on the left side of one equation.
andrew-mc [135]

Answer:

x=-6

y=4

Step-by-step explanation:

x=-y-2        x=-y-2             x=-y-2         x=-y-2         x=-y-2   x=-4-2   x=-6

0.5x+y = 1  0.5(-y-2)+y=1  -0.5y-1+y=1  -y-2+2y=2  y=4       y=4       y=4

7 0
2 years ago
Other questions:
  • 23
    7·2 answers
  • HEEEEEEEEEEEEEEEEEEEEEEEEELP!
    11·1 answer
  • You are making an umbrella that is shaped like a regular octagonal pyramid. Each base length is 4ft and each side length is 5 ft
    11·1 answer
  • HELP PLS i need this right now
    8·1 answer
  • Identify the domain and range of each function.
    9·1 answer
  • What's 21% of 1,300<br> A 2,601<br> B 1,027<br> C 62<br> D 273
    12·1 answer
  • Need help fast!!!! Is it Q N
    9·2 answers
  • Please answer this. Find the angles
    11·2 answers
  • Which value of x makes the open sentence 10 = 8x true?
    13·2 answers
  • QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!