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
Travka [436]
3 years ago
7

A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the fun

nel at any given time is 16.59375 cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?
Mathematics
2 answers:
BARSIC [14]3 years ago
7 0

Answer:

15.75 pi cm^3

Step-by-step explanation:

I got this question on a test and this was the right answer

zavuch27 [327]3 years ago
5 0
The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.

The volume of a cylinder is given by:

V=\pi r^2h
where: r is the radius of the cylinder and h is the height of the cylinder.

Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:

V=\pi(0.75)^2(1.5)=0.84375\pi=2.65072cm^3

Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.
You might be interested in
Anna, Boris, and Clara thought of 1 number each Ana's number increased by 20 is 21 greater than boris's number decreased by 22.
sleet_krkn [62]

Answer:

Clara's number is 42 less than Anna's number

Step-by-step explanation:

We can start this problem out by setting our variables up:

A= Anna's number

B= Boris's number

C= Clara's number

so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:

- "Ana's number increased by 20"

A+20

- "boris's number decreased by 22"

B-22

- "21 greater than boris's number decreased by 22."

(B-22)+21

- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."

A+20=(B-22)+21

This is our first important equation here. Let's go with the second part of the problem:

- "Boris's number decreased by 20"

B-20

- "claras number increased by 22"

C+22

- "21 greater than claras number increased by 22"

(C+22)+21

Now the whole thing:

"Boris's number decreased by 20 is 21 greater than claras number increased by 22."

B-20=(C+22)+21

This is our second important equation.

So now we have the following system of equations:

A+20=(B-22)+21

B-20=(C+22)+21

We can now simplify the equations by combining like terms so we get:

Equation 1:

A+20=(B-22)+21

we can get rid of the parenthesis so we get:

A+20=B-22+21

We can subtract a 20 from both sides of the equation so we get:

A=B-22+21-20

We perform the subtractions so we get:

A=B-21

Equation 2:

B-20=(C+22)+21

We get rid of the parenthesis:

B-20=C+22+21

We add a 20 to both sides so we get:

B=C+22+21+20

We can now perform the additions so we get:

B=C+63

And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:

A=C+63-21

We combine like terms to get:

A=C+42

We can subtract 42 from both sides to get:

C=A-42

which reads:

Clara's number is 42 less than Anna's number.

3 0
2 years ago
The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of
vodomira [7]

Answer:

  D.  5 +6k/n

Step-by-step explanation:

The width of the interval is (5 -2) = 3. The width of one of n parts of it will be ...

  3/n

Then the difference between the left end point of the interval and the value of  x at the right end of the k-th rectangle will be ...

  k·(3/n) = 3k/n

So, the value of x at that point is that difference added to the interval's left end:

  2 + 3k/n

The value of the function for this value of x is ...

  f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1

  = 5 +6k/n

4 0
3 years ago
At a coffee shop, the first 100 customers'
Paladinen [302]

\frac{1}{5}

Step-by-step explanation:

cold =25

large=5

\frac{5}{25}

divide it

\frac{1 }{5}

8 0
1 year ago
How to find out the independent variable and dependent variable from a graph?
I am Lyosha [343]

Answer:

The Axes. The independent variable belongs on the x-axis the(horizontal line) of the graph and the dependent variable belongs on the y-axis the (vertical line)

6 0
2 years ago
Can someone help with this question??
Scrat [10]

D 11 1/4

Step-by-step explanation:

3/4 + 1 1/2 is 2 1/4

2 1/4 x 5 is 11 1/4

8 0
2 years ago
Other questions:
  • A circular track has a diameter of 62 yards, whats the circumference of the track
    12·1 answer
  • Working on summer vacation. Suppose in a school it is found that 30% of adults do not work at all while on sum- mer vacation. In
    5·1 answer
  • Need help with this circumference question
    9·2 answers
  • Will mark brainliest if correct! :)
    11·1 answer
  • Help me 20 points..plz
    11·2 answers
  • (1.2·10⁴)(3.2·⁵)<br> i forgot how to do this please help
    14·1 answer
  • The area of a rectangular rug is 4(2x - 5). Which other expression represents the same area?
    15·1 answer
  • When you find volume of a 3-D shape, you are finding the measurement of the outside of the shape.
    9·1 answer
  • Standard divisors and quotas
    15·1 answer
  • Order these fractions from least to greatest.<br> 2 2 2<br> 8' 3' 6
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!