The volume of a sphere is * cubic centimeters. What is the radius?

The Volume Of A Sphere Is * Cubic Centimeters. What Is The Radius?

Answers

Answer 1

Answer:

Given volume= 32/3 π

Now, we know that volume of sphere = 4/3 π r³ according to the question.

[tex]\frac{4}{3} \pi r^{3} =\frac{32}{3} \pi[/tex]

Both π and 3 are canceled from both sides

Now,

[tex]4r^{2} =32[/tex]

Divide both sides by 4

[tex]r^{3} =\frac{32}{4} =8[/tex]

[tex]r^{3} =8[/tex]

[tex]r=(8)^{1/3} =(2\times 2 \times 2)^{1/3}[/tex]

[tex]r=(2^{3} )^{1/3} =2^{3\times1/3}[/tex]

[tex]r=2 \; cm[/tex]

Radius of sphere = 2 cm

OAmalOHopeO


Related Questions

help me with the question of o.math​

Answers

Answer:

A= 5 8 11

     7 10 13

     11 14 17

x=3 y=2 z=-1 w=1/2

Step-by-step explanation:

Let matrix A= a11 12 13

                      a21 a22 a23

                      a31 a32 a33

aij=2^i+3j

When i=1 and j=1,

aij=2^1+3*1=2+3=5

Solve for all the elements and you'll get,

A= 5 8 11

     7 10 13

     11 14 17

For no 7,

x+y  0           =       5    2w-1

1       x-y               z+2      1

Equating,

x+y =5       z+2=1     2w-1=0    x-y=1

x=5-y         z=-1        w=1/2      From 1st 5-y-y=1   -2y=-4 y=2

x=5-2(from last)

x=3

Answer is 5 8 11 7 9 10

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Answers

Answer:

Ông sáu sẽ mất 4281000 đồng

HELP! Select the reason why these triangles are
similar. If they are not, select "Not similar."
10
800
22
15
800
33
B. SAS
A. AA
D. Not similar
C. SSS

Answers

Answer:

SAS

Step-by-step explanation:

Find the endpoint/midpoint.Please hurry

Answers

Answer:

im not sure, but i have

Step-by-step explanation:

Answer:

Step-by-step explanation:

Help please quick for c and d

Answers

Answer:

6.82 cm

Step-by-step explanation:

1000=V=pi*r^2*h. 1000=pi*r^3, r=6.82 cm

Determine the derivative of f(x) = -5x+3x from first principles first Calculate​

Answers

Answer:

The derivative of the function f(x) = -5x+3x is ---->  -2

Step-by-step explanation:

the function h(x) is a transformation of the square root parent function

Answers

Answer:

h(x)=\sqrt(x+6)

Step-by-step explanation:

I just did the test for a p e x

hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.

Answers

Area of a square is side^2

Diagonal of a square is sqrt(2) x side

Using this rewrite the area formula as :

1/2 x diagonal^2

Area = 1/2 x 40^2 = 800

Area = 800 m^2

Answer = b) 800m^2

please help! What is the domain of the function shown on the graph?

Answers

Answer:A

Step-by-step explanation:

Find the value of c.

Answers

Answer:

86°

Step-by-step explanation:

(a+c)/2=86

in this case, a=c

so,

2c/2=86

or, c=86

How do you solve number 5?

Answers

Answer:

B

Step-by-step explanation:

To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%

60 * 125% = 75

So if 60 is 100%, then 75 is 25% more than 60.

What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
y
16
11
6
1
-4
O A. y = -5x+9
B. y = -3x - 5
O C. y = -5x + 3
D. y = -5x + 6

Answers

Answer:

D. y = -5x + 6

Step-by-step explanation:

If we replace the values of x in the expressions we can find y. By replacing the values of x we see that the only option that has the correct values of y is the option D.

please help! need the answers in order to move on:) will give brainliest to correct answer!

Answers

Answer:

[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]

[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]

[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]

[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]

[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]

Step-by-step explanation:

Correct answer gets brainliest and 5 star

Answers

Answer:

d

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

the formula for slope is: y = mx + b

where m = slope & b = y intercept

so in y = -2x + 1,

m (slope) = -2     &      b (y-int) = (0,1)

Triangles and angles
Pls help

Answers

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

1/5√75 -10√1/2+√125-2√1/2

Answers

Answer:6.91239069507

Step-by-step explanation:

I need two people to help me… brainliest….

Answers

The answer to your question is A because 14 plus 8 is the number you find in the way of math

Is {3,…} a defined set

Answers

Answer:

I am odd number my digits add up to 7 i am bigger than 50 and smaller 100

If y = 3x +1 were changed to y = x+1, how would the graph of the new function
compare with the original?
A. It would be shifted down.
B. It would be shifted up.
C. It would be less steep.
D. It would be steeper.

Answers

Answer:

Step-by-step explanation:

The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.

PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.


A. 146.85 units²

B. 45+9√3 units²

C. 36+9√3 units²

D. 36+3√3 units²

Answers

The total surface area of the pyramid is 52 square units

The formula for calculating the area of the triangular based pyramid is expressed as;

[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;

p is the perimeter of the base

s is the slant height

Get the Base area

[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]

Get the perimeter

Perimeter = 5 + 5 + 6

Perimeter = 16 units

Slant height = 5units

Substitute the given values into the formula above as shown;

[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]

Hence the total surface area of the pyramid is 52 square units

Learn more here: https://brainly.com/question/23353623

Answer:

52squnits

Step-by-step explanation:

the set is points indicated by 10. is the ___of the angle

Answers

Answer:

the points indicats exterior of the angle

A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4

Answers

Answer:

A. 5.8

Step-by-step explanation:

For this type of question, we are asked to find out the distance between the boats.

By doing this we need to use the distance formula

See below.

Juanita is making 30 sundaes with mint, chocolate, and vanilla ice cream. 1\3 of the sundaes are mint ice cream and 1\2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

10

Step-by-step explanation:

→ Calculate how many are mint ice cream's

[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10

→ Calculate how many are chocolate

30 - 10 = 20

[tex]\frac{1}{2}[/tex] × 20 = 10

→ Now find the vanilla

30 - ( 10 + 10 ) = 10

Banking You are going to open a certificate of deposit (CD) that earns simple
interest. One bank offers a CD in which you must deposit $500 for 3 years with
2% interest. Another bank offers a CD in which you must deposit $250 for
4 years
with 3% interest. Which CD will earn more interest?

Answers

Answer:

They will earn equal profit

Step-by-step explanation:

Intrest given by first bank=(500*3*2)/100=30

Intrest given by second bank=(250*3*4)/100=30

Find the slope of the line that passes through (1, 13) and (4,9)?

Answers

Cool ranch Doritos and kool aid
Slope = (13-9)/(1-4)
Slope = 4/-3
Slope = -1 1/3

Which set of whole numbers but not natural numbers

Answers

Answer:

C

Step-by-step explanation:

C is the set with whole numbers as it contains 0 and natural numbers

My brain has stopped working, can you answer this?

Answers

Answer:

$40.00, $30.00, B

Step-by-step explanation:

We can first write an expression for the cost of each plan.

Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have

15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A

For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.

Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get

1500 + 5 * x + 5 * y

combine like terms

1500 + 5 * (x+y)

plug 200 in for x and 100 in for y

1500 + 5 * (200+100)

1500 + 5 * (300)

1500 + 1500

3000

divide by 100 to convert to dollars

$30.00 is the cost for plan B

$30 < $40, so plan B will be cheaper for Jaden

Please Help!!!!!
Prove that polynomials are not closed under division.

Answers

Polynomials are not closed under division. When you divide polynomials it is possible to get quotients with negative exponents or with fractions that have exponents in the denominator, and neither of these could be included in polynomials.

Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)

Answers

Answer:

b = 35 minutes

Step-by-step explanation:

A)

How long he plays basketball = x

How long he plays volleyball = y

x + y = 95

x = y + 25

B) We will replace (x = y + 25) as x in the first equation

(y + 25) + y = 95

2y + 25 = 95

2y = 95-25

2y = 70

y = 70/2

y = 35

He plays volleyball for 35 minutes everyday

answered by g a u t h m a t h

can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3

Answers

Answer:

Inverse of f(x) is ³2-x

Step-by-step explanation:

let the inverse of f(x) be m :

[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]

make x the subject:

[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]

substitute x for m:

[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]

Answer:

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Step-by-step explanation:

One is asked to find the inverse of the following function:

[tex]f(x)=2-x^3[/tex]

Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,

[tex]f(x)=2-x^3[/tex]

[tex]f(x)-2=-x^3[/tex]

[tex]2-f(x)=x^3[/tex]

[tex]\sqrt[3]{2-f(x)}=x[/tex]

Put in inverse function notation,

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

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