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
Vadim26 [7]
3 years ago
14

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?

Mathematics
1 answer:
zysi [14]3 years ago
4 0
You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.
You might be interested in
Solve the inequality 2x + 7 - 3x < 13 +2X. You must show your work and describe the graph of the solution on the number line.
kozerog [31]

Cancel equal terms on both sides of inequality

7-3x < 13

move constant to the right side and change its sign

-3x<13-7

subtract the numbers

-3x<6

divide both sides of inequality by -3 and flip the inequality sign

answer is: x>-2

4 0
3 years ago
It will take Mr. Warner 76.5 hours to install a fence. Each day, he works 8.5 hours on the fence. After he finished working on t
Trava [24]

Answer:

6 days

Step-by-step explanation:

You have to subtract 25.5 from 76.5 and divide that number by 8.5.

8 0
3 years ago
Recommendations
aivan3 [116]

Answer:

27 cubic meters

Step-by-step explanation:

The surface area of this cube is 54 square meters.

Given a cube of side length s,

  • Surface Area =6s^2

Therefore:

6s^2=54\\s^2=54/6\\s^2=9\\s=\sqrt{9}\\ s=3$ meters

Volume of a Cube of side length s =s^3

Volume of the cube =3^3

=27 cubic meters

The volume of the cube is 27 cubic meters.

4 0
3 years ago
Which location is closest to sea level?how do u know?
solmaris [256]

Answer:

C= -55 is the closest location from the sea level, Because its distance from sea level is 55 m which is minimun among given list.

7 0
3 years ago
Read 2 more answers
2x/x-3 - 6/x-3 . I need a step by step explanation , please
Harman [31]
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3.  So in general:

a/c-b/c=(a-b)/c so you just have:

(2x-6)/(x-3)  now if you factor 2 from the numerator

2(x-3)/(x-3)  the (x-3)s cancel out leaving

2

However!  Note that division by zero is undefined, so x cannot equal 3.  (because both original fractions had denominators of x-3)

What this all means is that that expression will equal 2 for all real values of x other than 3.
8 0
3 years ago
Other questions:
  • Brandon is twice as old as his brother Ryan. Ryan is one-eighth the age of their father. If their father is 52 years old, how ol
    14·2 answers
  • The College Board reports that 2% of students who take the SAT each year receive special accommodations because of documented di
    5·2 answers
  • What is the radius of this circle if the circumference is 183 cm?
    5·1 answer
  • A woman wants to make a 6 inch wide copy of a drawing that is 10 inches wide. On the photocopier, what percent setting should sh
    10·2 answers
  • A cube has a volume of 1/8 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your a
    6·1 answer
  • There are 11 girls and 14 boys in a 5th-grade class. Of
    9·2 answers
  • Help please I don’t know what to do ASAP last question
    13·2 answers
  • Select the correct answer.
    13·1 answer
  • Please help me, I will be giving brainliest to the best answer! What is the vertical intercept? What does it mean in this situat
    5·1 answer
  • What is 10% of 100? Explain your work
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!