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
Ivahew [28]
4 years ago
5

Gus has a fish tank that holds 4710 inches cubed of water. He is using a cylinder shaped bucket with a radius of 5 inches and a

height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop
Mathematics
2 answers:
KatRina [158]4 years ago
4 0
For a cylinder, V=pi x r^2 x h
So the volume of the cylinder is about v = 3.14(5^2)20 = 1570 cubic inches.
Divide 4710 by that number and the answer I’d that Gus has to fill the bucket 3 times
aksik [14]4 years ago
3 0
<h2>Answer:</h2>

Hence, the number of times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop is:

                        3 times

<h2>Step-by-step explanation:</h2>

The amount of water that a tank can hold is: 4710 inches cube.

This means that the volume of tank is: 4710 cubic inches.

Also, the bucket is in the shape of a cylinder with radius 5 inches and height 20 inches.

This means that the Volume of bucket is given by:

Volume=\pi r^2h

where r denotes radius and h denotes height.

Hence, Volume of bucket is:

Volume=\pi\times (5)^2\times 20\\\\\\Volume=3.14\times 25\times 20\\\\\\Volume=1570\ cubic\ inches

Let n be the number of times Gus need to fill the bucket to completely fill the fish tank

Hence, we have:

 Volume of fish tank= n × Volume of Bucket

i.e.  4710=n\times 1570\\\\i.e.\\\\n=\dfrac{4710}{1570}\\\\n=3

               Hence, the answer is:

                          3

You might be interested in
You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La
Anarel [89]

Distance to checkpoint A from starting line = 20 yards.

Then from A to B distance = 12 yards.

Let us take starting point C.

So, it would make a right triangle.

We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.

According to Pythagoras theorem:

BC^2 = AB^2+AC^2

BC^2 = 12^2+20^2

BC^2 = 144 +400 = 544

BC= \sqrt{544}

BC = 23.32.

<h3>Therefore,  23.32 yards is the distance from Checkpoint B to the starting line.</h3>
7 0
3 years ago
Read 2 more answers
Hi everyone can someone please help with this problem?
erik [133]
You need to use the equation (secant)(exterior)=(secant)(exterior).
Learned about this today.
8 0
3 years ago
Which one of these words describe mirror image
Paul [167]

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

4 0
3 years ago
What is the successor of the natural number 2012?
andriy [413]
The succesor of the natural number 2012 is 2013.
4 0
3 years ago
Read 2 more answers
Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Elina [12.6K]

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is \r p \pm  E  = 0.666 \pm  0.111

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  0.555 <  p <  0.777

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             \r p  =  \frac{0.555 + 0.777}{2}

            \r p  =0.666

Generally the margin of error is mathematically represented as

            E  =  \frac{1}{2}  *  K

Where  K is the length of the confidence interval which iis mathematically represented as

           K  =  0.777 -0.555

         K  = 0.222

Hence  

          ME  =  \frac{1}{2}  *  0.222

           ME  =  0.111

So the confidence interval can now be represented as

        \r p \pm  E  = 0.666 \pm  0.111

     

3 0
4 years ago
Other questions:
  • Gershon created a pattern using shapes. He used 6 circles and 9 squares in his pattern. He created a second pattern with the sam
    15·1 answer
  • PLEASE HELP?! I️ GOT TONS OF HW DUE TOMORROW MORNING! Translate 75% of 266 to an equation, and then solve.
    14·1 answer
  • Germany flag has a heigh to length ratio 3:5 if German flag is 30 feet what is its height
    5·2 answers
  • The following shows the process a student used to determine the number of yards in 3,218 meters. (1 mile = 1,609 meters) (1 mile
    5·2 answers
  • If x=4 and y=5 work out 5xy+x squared
    7·1 answer
  • Which triangle has an area of 22.5 square units? Circle all that apply
    12·1 answer
  • 4 1/2 times 6 1/2 times 18
    9·1 answer
  • If Jeremy puts 200$ down and pays 35$ per month for 24 months, how much will the computer cost?
    14·2 answers
  • What are the x- intercepts of the function f(x)= -2x-3+20?
    13·1 answer
  • Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graph
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!