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
Sonbull [250]
2 years ago
15

A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

ical. If the depth of the water is 12 ft, what percentage of the total capacity is being used? (Round your answer to one decimal place.) %

Mathematics
1 answer:
andrezito [222]2 years ago
3 0

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

At=\frac{\pi }{4} (14ft)^2=153.93ft^2

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

\frac{116.36}{153.93} *100=75.6

percentage of the total capacity is 75.6%

You might be interested in
CAN SOMEONE PLEASE HELP ME WITH THESE!!!
Darya [45]

Answer:

for the first pic

1=133

2=47

3=47

4=133

5=133

6=47

7=47

8=133

the next pic

2,3 is a corresponding angle

1,2 is a verticle angle

the third pic

1=153

2=27

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which of the following term describes √36 ? *
Cerrena [4.2K]

Step-by-step explanation:

A. Rational Number

square root 36 = 6/1

It can be write in a ratio.

7 0
2 years ago
A kindergarten teacher asked the students’ parents to send their child to school with two fruits (apples and/or oranges). Below
hichkok12 [17]

Answer:

The frequency of oranges is the classroom is 47.37%.

Step-by-step explanation:

The relative frequency of oranges is the number of oranges divided by the total number of fruits.

We have that:

8 students brought 2 apples each. So there are 8*2 = 16 apples

4 students brought an apple and an orange each. So there are 16 + 4*1 = 20 apples and 4*1 = 4 oranges.

7 students brough 2 oranges each. So there are 4 + 2*7 = 18 oranges.

There are 18 oranges, and 20+18 = 38 fruits in total.

So the frequency of oranges in the classrom is

F = \frac{18}{38} = 0.4737

5 0
3 years ago
Please help I can’t figure this out
olga2289 [7]

Answer:(x + 2) 5

Step-by-step explanation:Btw put

the 5 as ur expoent

7 0
2 years ago
Read 2 more answers
PLEASEEE HELPPP!!!<br> what is the reason for congruence
Ostrovityanka [42]

Answer:

ASA Hope this helped brainlest pls almost lvled up

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Geoffery went on a trip across South America. He took 1,750 US dollars (USD) with him. In Chile, he traded his money for Chilean
    8·2 answers
  • Solve -6|2x-9|+1=-17 and give the final answers that would make the equations true
    12·1 answer
  • A 27-foot pole casts a 25-foot shadow. at the same time, a nearby tower casts a 45-foot shadow. how tall is the tower?
    8·1 answer
  • 1. Find the area of the polygon, explain your process.
    10·1 answer
  • I need help in this ( ̄▽ ̄)
    5·1 answer
  • Bill bought 6 boxes of chocolates. Each box cost $6.57. How much did he spend?<br> ?
    9·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    11·2 answers
  • A customer at a store paid $60 for 2 large candles and 6 small candles. At the same store, a second customer paid $5 more than t
    7·2 answers
  • How many hours are in 6,489 minutes
    9·1 answer
  • I ned help due in july 31st
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!