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
The admission fee at the Smithsonian Air & Space
mel-nik [20]
A. 1.50c+ 4.00a = 5050 (Money earned)
     c + a =2200 (Guests in the museum) 

6 0
3 years ago
Evaluate S5 for 400 + 200 + 100 + … and select the correct answer below.
Nadusha1986 [10]
The correct answer is B) 775 

Why 775? Because Assume the series continues.

400+200+100+50+25=775

I hope this helps. 

Have a great day. :)
5 0
3 years ago
Read 2 more answers
Which postulates are used to find the perimeter of a shape?
Illusion [34]

Answer:

Hiiiiiiiiiiiii.... lol ooopppp

5 0
3 years ago
11. Maria's age is 3 years more than twice George's age. Which expression represents George's age in terms of Maria's?
leonid [27]

Answer:

C

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or g = \frac{m-3}{2}

The answer that gives us this, is C.

6 0
2 years ago
Find a value of k for which the following system has only one solution:
nata0808 [166]
K(cannot equal (the = sign with the line through it) -2
k(=/)-2

6 0
3 years ago
Other questions:
  • 16.43 7 rounded to the nearest tenth is 16.4 true or false is it true
    12·1 answer
  • 1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
    15·1 answer
  • A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inc
    6·1 answer
  • A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 cubic units
    9·1 answer
  • Need help ASAP!!!! last minute hw i need to do
    6·1 answer
  • if Sue would like to put a down payment on a new car. the car cost $27,999 and she needs to make it 20% down payment how much is
    13·2 answers
  • A grocer sells watermelons.the table shows the cost of buying different numbers of watermelons
    7·1 answer
  • Answer question in image
    7·1 answer
  • Write each recurring decimal as a fraction in simplest form.<br> 0.286
    7·1 answer
  • Find x and y <br><br> can someone pls help
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!