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
eduard
3 years ago
7

A conical tank has an inside diameter of 20 ft and a height of 12 ft. The tank is filled with liquid to a height of 9 ft. How mu

ch liquid is in the tank? (Round your answer to the nearest whole number.)

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0
Check the picture below

so.. if you notice, the diameter is 20, the radius is half that, the radius and height are at a ratio of 5:6, if the larger cone is filled up to 9ft, that means, the conical gap above, is 3ft in height

so, simply getting the volume of the larger cone filled up, with a height of 12, and then subtracting that conical gap, you'd end up with what's leftover, whatever the volume is at 9ft

\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\\\\
-------------------------------\\\\
\textit{volume of larger cone}\qquad V_l=\cfrac{\pi 10^2\cdot 12}{3}\implies \boxed{V_l=400\pi }
\\\\\\
\textit{volume of smaller cone}\qquad V_s=\cfrac{\pi \left( \frac{5}{2} \right)^2\cdot 3}{3}\implies \boxed{V_s=\cfrac{25\pi }{4}}
\\\\\\
\textit{volume of liquid up to 9ft}\qquad V_l-V_s=\cfrac{1575\pi }{4}\implies 393.75\pi

You might be interested in
Multiply. Write in simplest form. Identify the two whole numbers between which the product lies 3x3/4 and 6x4/5
likoan [24]
2.25 and 4.8 =10.8

Hope this helps!
4 0
3 years ago
Read 2 more answers
Find value of y as well as other angles​
Dahasolnce [82]

Answer:

Step-by-step explanation:

Ok but where is the question

4 0
2 years ago
Read 2 more answers
In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. it measured 50 centimeters tall and 90 cen
slavikrds [6]
Y=-2/81x^2+50 is the answer 
7 0
3 years ago
Read 2 more answers
Elysse paid for her lunch with a $10 bill and recieved 0.63 in change the lunch special was 7.75 sales tax was 0.47 what was the
adelina 88 [10]
Hey! The drink was $1.15 because $10 minus the cost of the lunch ($7.75), tax (0.47), and what was given back in change (0.63) leaves you with $1.15
7 0
3 years ago
Read 2 more answers
ASAP PLZ HELP!!
Dominik [7]

Answer:

A) y² - 5y + 1

B) y² - 5y - 4

C) - 5y + 1

D) - 3y² - 4y - 6

Step-by-step explanation:

Let's call P the unkown polynomial and D the difference. In each case, the following must be true:

y² - 5y + 1 - P = D

<em>A)</em>

y² - 5y + 1 - P = 0

y² - 5y + 1 = P

<em>B)</em>

y² - 5y + 1 - P = 5

y² - 5y + 1 - 5 = P

y² - 5y - 4 = P

<em>C)</em>

y² - 5y + 1 - P = y²

y² - 5y + 1 - y² = P

- 5y + 1 = P

<em>D) </em>

y² - 5y + 1 - P = 4y² - y + 7

y² - 5y + 1 - 4y² + y - 7 = P

- 3y² - 4y - 6 = P

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve by completing the square: x^2-10x+8=0
    5·2 answers
  • Help plz.......................!
    11·1 answer
  • I dont understand how to do this please help me i want to get a good grade​
    11·2 answers
  • Find the average of the following salaries:<br> $38,750.00, $42,500.00, $44,500.00
    11·1 answer
  • What is the domain of the function shown in the graph below?
    5·2 answers
  • Suppose there are two types of tickets to a show: advance and same day. The combined cost of one advance ticket and one same day
    13·1 answer
  • Need help with area for solving this
    11·2 answers
  • PLEASE HELP ASAP!!!!!!
    11·1 answer
  • 100 points help with recursive function!
    12·1 answer
  • Which scatter plot best illustrates a strong positive correlation?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!