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
kkurt [141]
3 years ago
8

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

You might be interested in
What is the solution (x, y) to the following system of equations below?
Arlecino [84]
The answer is x=3 and y=-8
5 0
3 years ago
Read 2 more answers
The human eye is approximately spherical in shape with a radius of about 12 mm
Tom [10]

Answer:

2.3 cm if that's an option. Not sure tho

Step-by-step explanation:

Pls mark as brainliest

5 0
3 years ago
Read 2 more answers
What does 3ˣ + 4·3ˣ⁺¹ =<br> a. 13·3ˣ⁺¹<br> b. 5·3ˣ⁺¹<br> c. 5·3²ˣ⁺¹<br> d. 13·3ˣ
Crazy boy [7]

Answer:

D. 13*3^x

Step-by-step explanation:

3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x

3 0
3 years ago
Max w = 5y1 + 3y2<br> s. a.<br> y1 + y2 ≤ 50<br> 2y1 + 3y2 ≤ 60<br> y1<br> , y2 ≥ 0
CaHeK987 [17]

The maximum value of the objective function is 330

<h3>How to maximize the objective function?</h3>

The given parameters are:

Max w = 5y₁ + 3y₂

Subject to

y₁ + y₂ ≤ 50

2y₁ + 3y₂ ≤ 60

y₁ , y₂ ≥ 0

Start by plotting the graph of the constraints (see attachment)

From the attached graph, we have:

(y₁ , y₂) = (90, -40)

Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂

w = 5 * 90 - 3 * 40

Evaluate

w = 330

Hence, the maximum value of the function is 330

Read more about objective functions at:

brainly.com/question/26036780

#SPJ1

7 0
2 years ago
Jayden is debating whether to use a straightedge and compass or a computer drawing program to complete a construction of an equa
kenny6666 [7]
Computer drawing program
5 0
3 years ago
Other questions:
  • Select the correct answer from each drop-down menu.
    10·1 answer
  • Use the Going West map in the Understanding Geography book to answer the following question.
    14·1 answer
  • Could someone please explain and answer these? Thank you!
    10·1 answer
  • A recipe that makes 8 servings calls for 3/5 cup of flour. Jeff modifies the recipe so that it can serve 10. How many cups of fl
    5·1 answer
  • At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her
    5·1 answer
  • Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
    13·1 answer
  • E) 340 people participated in a conference. If the ratio of ladies and gentleman is
    9·1 answer
  • Can y’all help me on question 12?!
    7·1 answer
  • What is the answer x + 2x + 3(x + 4) = 5x - 6
    11·1 answer
  • Elimination Method: 6x - 4y = -24 and 4x + 5y = -2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!