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s2008m [1.1K]
3 years ago
12

The radius of a sphere is 6 units. A sphere has a radius of 6 units. Which expression represents the volume of the sphere, in cu

bic units?
Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

The volume of the sphere is 678.24 u³  

V = ⁴⁄₃ * π * (6u)³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 6 units

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (6u)³

V = 4.187 * 216 u³

V = 678.24 u³

The volume of the sphere is 678.24 u³

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A circle has a radius of 3.5. What is the circumference? Use 3.14 for Pi.
VikaD [51]

Answer:21.98

Step-by-step explanation:

It is because the formula for the circumference of a circle is 2 x 3.14 x r so I do the 2 x 3.14 and I get the 6.28 and then 6.28 x 3.5(radius) is 21.98.

8 0
3 years ago
Is the point (1, 2) a solution to the system?
alekssr [168]

Answer:

B) Yes

Step-by-step explanation:

2=4(1)-2

2=4-2

Yes.

2=10(1)-8

2=10-8

Yes.

6 0
3 years ago
A hot air balloon travels 18miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4hour?
Nikolay [14]

Answer:

4,5 miles

Step-by-step explanation:

In 1 hour:    18/3 = 6 miles

6 . 3/4 = 18/4 = 4,5 miles

3 0
3 years ago
What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
I'm in 7th grade and need help have a final tomorrow
inna [77]
I can maybe help, what's the question
7 0
4 years ago
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