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3 years ago

Suppose the surface area of a sphere is 3241 square units. What is the volume, in cubic units, of this sphere?

Mathematics

1 answer:

lapo4ka [179]3 years ago

4 0

A is the volume, in cubic units, of this sphere

Step-by-step explanation:

Surface area of sphere(S) and volume of sphere (V) is given by:

.....[1]

As per the statement:

Suppose the surface area of a sphere is 324π square units

⇒S = 324π square units

then;

Divide both side by we have;

⇒ units

We have to find the volume, in cubic units, of this sphere.

Substitute the given value in [1] we have;

Simplify:

cubic units

Therefore, is the volume, in cubic units, of this sphere

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Step-by-step explanation:

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Watch help video

finlep [7]

3√5

The distance between two points on an XY plane is calculated using the distance formula, which is employed in coordinate geometry or Euclidean geometry. The x-coordinate, often known as the abscissa, is a point's separation from the y-axis. The y-coordinate, often known as the ordinate, refers to a point's separation from the x-axis. A point on the x-axis has coordinates of the form (x, 0), and a point on the y-axis has coordinates of the form (0, y). We utilize the Pythagoras theorem in this case to determine the separation between any two points in a plane.

Distance formula = √ ( x₁ - x₂)² + ( y₁ - y₂)²

= √ 6² + 3²

=3√5

To learn more about distance formula, refer to brainly.com/question/7243416

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7 0

2 years ago

The answers to the proof

Karolina [17]

Great work! But please show more of the picture

8 0

3 years ago

7/8 turned into a decimal. Show all the work.

drek231 [11]

The answer is....0.875

6 0

3 years ago

Read 2 more answers

How would I do this with working ?

san4es73 [151]

You Just want to get Fahrenheit alone on one side of the equal sign. Your teacher forgot to use parenthesis. The correct equation for Celsius to Fahrenheit is: $C= \frac{5}{9} (F-32)$

Which will give you a completely different answer.... $F = \frac{9}{5} C + 32$

****

We will solve it using what is given:

C = (5/9)F - 32

C + 32 = (5/9)F

9(C + 32) = 5F

(9/5)(C + 32) = F

** If they mark you wrong, and try to say the answer is F = (9/5)C + 32 then they shouldn't be teaching math, and you should point out the fact there are no parenthesis around the F - 32 in the given formula.

5 0

3 years ago

Solve system of equations 2x + 2y + 5z = 7 6x + 8y + 5z = 9 2x + 3y + 5z = 6

svet-max [94.6K]

Answer:

the values of x, y and z are x= 2, y =-1 and z=1

Step-by-step explanation:

We need to solve the following system of equations.

We will use elimination method to solve these equations and find the values of x, y and z.

2x + 2y + 5z = 7 eq(1)

6x + 8y + 5z = 9 eq(2)

2x + 3y + 5z = 6 eq(3)

Subtracting eq(1) and eq(3)

2x + 2y + 5z = 7

2x + 3y + 5z = 6

- - - -

_____________

0 -y + 0 = 1

-y = 1

=> y = -1

Subtracting eq(2) and eq(3)

6x + 8y + 5z = 9

2x + 3y + 5z = 6

- - - -

______________

4x + 5y +0z = 3

4x + 5y = 3 eq(4)

Putting value of y = -1 in equation 4

4x + 5y = 3

4x + 5(-1) = 3

4x -5 = 3

4x = 3+5

4x = 8

x= 8/4

x = 2

Putting value of x=2 and y=-1 in eq(1)

2x + 2y + 5z = 7

2(2) + 2(-1) + 5z = 7

4 -2 + 5z = 7

2 + 5z = 7

5z = 7 -2

5z = 5

z = 5/5

z = 1

So, the values of x, y and z are x= 2, y =-1 and z=1

5 0

4 years ago

Suppose the surface area of a sphere is 3241 square units. What is the volume, in cubic units, of this sphere?​

Suppose the surface area of a sphere is 3241 square units. What is the volume, in cubic units, of this sphere?