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
Dmitry_Shevchenko [17]
3 years ago
6

What is the radius of a sphere with a volume of 1/6 pie

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

\large\boxed{the\ radius\ R=\dfrac{1}{2}}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

We have

V=\dfrac{1}{6}\pi

Substitute:

\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi        <em>divide both sides by π</em>

\dfrac{4}{3}R^3=\dfrac{1}{6}          <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}

4R^3=\dfrac{1}{2}          <em>divide both sides by 4</em>

R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}

You might be interested in
-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination
Minchanka [31]

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

                -2+4=2

                     2=2

Done!

5 0
2 years ago
Jayden earned some money doing odd jobs last summer and put it in a savings account that earns 12% interest compounded monthly.
aivan3 [116]

Answer:

$220.18

Step-by-step explanation:

The amount A(n) accrued for P dollars saved at r% annual interest for a period of n years compounded k times is derived using the formula:

A(n)=P \left(1+\dfrac{r}{k}\right)^{nk}

In Jayden's case:

  • A(n)=$400
  • r=12%=0.12
  • n=5 years
  • k=12 Months

We want to determine the amount Jayden put in the savings account.

400=P \left(1+\dfrac{0.12}{12}\right)^{12*5}\\400=P \left(1+0.01}\right)^{60}\\400=P \left(1.01}\right)^{60}\\P=\dfrac{400}{\left(1.01}\right)^{60}}\\

P=\$220.18

Jayden earned $220.18 from doing odd jobs.

8 0
3 years ago
Answer for 2,3,4 help pls thanks
Lemur [1.5K]

(90 \times 15) \div 9 =  \: is \: your \: answer

Step-by-step explanation:

1. B is true

2 . I don't know

3.

4 0
3 years ago
Find an explicit formula for the following sequence, an which starts with a1=2/3. 2/3,3/4,4/5,5/6,…
Flura [38]

Answer:

Step-by-step explanation:

a1=2/3

sequence is 2/3,3/4,4/5,...

for numerator a1=2

d=3-2=1

numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1

denominator = 1 more than numerator=n+1+1=n+2

so an=(n+1)/(n+2)

or for denominator a1=3,d=4-3=1

denominator of nth term=3+(n-1)×1=3+n-1=n+2

an=(n+1)/(n+2)

6 0
3 years ago
2. a. A fish is 12 meters below the surface of the ocean. What is its elevation?
Alex17521 [72]

Answer:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

The surface of the ocean would be 0.

Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.

For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.

Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.

5 0
3 years ago
Read 2 more answers
Other questions:
  •  PLZ HELP PLZZZZZZZZZZZZZZZZ
    12·2 answers
  • Can someone please help me on this simple geometry question
    7·1 answer
  • A board 125 centimeters long is cut into 12 pieces of equal length . What is the length of each piece , to the nearest tenth of
    7·1 answer
  • Write the following numbers in scientific notation 7,430,000________x10^_______
    6·1 answer
  • Which of the following demonstrates the correct first step in copying a segment?
    15·1 answer
  • HELP PLS ITS SUBSITIUTING!!!! ILL MARK U BRAINLIEST IF ITS RIGHT.<br><br> -3x + y = 2<br> y = x + 4
    15·2 answers
  • What is the shape identify in the image
    12·2 answers
  • I NEED HELP PLEASE HELP ME ASAP PLEASEEEEE
    5·1 answer
  • What is the slope- intercept form of 4x+5y=20
    5·1 answer
  • Compare the numerical expressions.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!