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
Lemur [1.5K]
3 years ago
8

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

the cone in terms of y.
Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

The height of the cone h = 27(x^4)y

Step-by-step explanation:

Firstly, we calculate the volume of the cylinder.

Mathematically, the volume of the cylinder is pi * r^2 * h

using the radius x and height y

The volume V of the cylinder is ;

V = pi * x^2 * y

Now we know they have the same volume V, the formula for the volume of a cone is ;

1/3 * pi * r^2 * h

Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;

V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y

The pi gives way as it cancels out on both sides and we have the following;

h/27x^2 = x^2y

Mathematically h = x^2 * y * 27x^2

h = 27(x^4)y

p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x

You might be interested in
504 books a week so how many books a hour
Effectus [21]
<span>2.98214285714 an hour for 168 hours</span>
8 0
3 years ago
Read 2 more answers
Elena packed 48 cubes into this box.Each cube has edges that are 1 centimeter.How many layers of cubes did Elena make
solniwko [45]
Elena packed 48 cubes.
Each cube has an edge of 1 centimeter.
The number of layers that Elena can make depends on how each layer is arranged and depends on how many cubes are there in a layer.
Assume that each layer has  only 1 cube, then there are 48 layers.
4 0
3 years ago
Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost fu
gavmur [86]

Answer:

The profit function is:

P(x)=-x^2+1280x-3300

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

R(x)=1300x-x^2

And the cost function is:

C(x)=3300+20x

Then the total profit function will be:

P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\displaystyle x=-\frac{1280}{2(-1)}=640

And the maximum profit will be:

P(640)=-(640)^2+1280(640)-3300=406300

5 0
3 years ago
Read 2 more answers
What = variable
prisoha [69]
74.4 is the answer.
hope this helps.
6 0
3 years ago
Read 2 more answers
What is the x intercept of this linear function. y=2x-3​
Allisa [31]

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • An arithmetic sequence with a third term of 8 and a constant difference of 5.
    14·1 answer
  • How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? Two Zero Infinitely many One
    14·1 answer
  • Can somebody show me how to divide 45.35 by 10,000.? I know the answer is 0.004535 but, I need to show my work
    7·1 answer
  • X(3+y-2) ; use x=3 and y=3
    14·1 answer
  • How many total operations do you have when multiplying two 4X4 matrices?
    10·2 answers
  • What is 12022 divided by 6?
    10·1 answer
  • In a company 60% of the workers are women if 1920 people work for the company who aren’t women, how many workers are there in al
    14·1 answer
  • 1.5% of a number is 60
    11·2 answers
  • What is the inverse of this equation and why?​
    13·2 answers
  • What is the value of x in the figure?<br><br> Enter your answer in the box.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!