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
Musya8 [376]
3 years ago
9

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

of the three tunnels is shaped like a? half-cylinder with a radius of 5 meters? (the height of the? tunnel) and a length of 25 kilometers? (the length of the? tunnel). How much earth? (volume) was removed to build the three? tunnels
Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

312.5\pi \text{ km}^3\approx 981.75\text{ km}^3

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}, where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3

Therefore, the volume of earth removed to build the three tunnels is 312.5\pi \text{ km}^3\approx 981.75\text{ km}^3.


You might be interested in
Josiah went to the local barber to get his haircut.it cost 18 for the haircut.josiah tipped the barber 15%.what was the total co
dalvyx [7]
$20.70
Eighteen dollars
Fifteen percent of eighteen is 2.7 
(.15 X 18)+18
4 0
3 years ago
Read 2 more answers
Which is the correct set of equations for this system of equations? I’ll GIVE 30 POINTS
zhannawk [14.2K]

Answer:

how r u suppose to give 30 if it is only for 15

Step-by-step explanation:

3 0
3 years ago
I will give you branilest!
vlada-n [284]

Answer:

ran throught a cal is

Step-by-step explanation:

Slope (m) =  

ΔY /ΔX =1/3 =0.33333333333333

3 0
2 years ago
The table shows the effect of education on annual income. Based on the data in the table, how much more does a person with an Ba
yuradex [85]

B is the correct answer

6 0
3 years ago
What are six hundred eighty-seven thousandths
ludmilkaskok [199]

Answer:

.687

Step-by-step explanation:

six hundred eighty-seven thousandths is 687/1000, or .687.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can you help me simplify this and explain it -----------------------------------------------------------------------------------
    10·1 answer
  • A scientist is studying certain germs. She places 3 germs in a special solution that will help the germs grow. The number of ger
    11·1 answer
  • Can someone help write the ratios for sin x,cos x and tan x
    7·1 answer
  • Write an inequality for the graph below.<br> 'न<br> 34<br> 10<br> ।। 12 13 14
    13·1 answer
  • PLZ HELP!!! Will mark brainliest if answers are correct and give a thanks with rating of 5. I'm being timed I need answer as soo
    12·2 answers
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
    15·1 answer
  • To which set of numbers does -1.2 belong?
    11·1 answer
  • 5. The area of the trapezoid is 75 square inches. Find the height of the trapezoid. And it’s two bases are 10 and 15.
    15·1 answer
  • The weight of a basketball is normally distributed with a mean of 17oz and a standard deviation of 2oz.
    10·1 answer
  • Compare the doubling times found with the approximate and exact doubling time formulas. Then use the exact doubling time formula
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!