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Masteriza [31]
3 years ago
6

the volume of a sphere is a function of its radius. find the volume of air in a standard volleyball with a diameter of 8.5 inche

s, given v=4/3πr^3
Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer:

The volume of air in a standard volleyball of diameter 8.5 inches is 321.68 inches^3

Step-by-step explanation:

Here, we want to calculate the volume of air in a standard volleyball.

Mathematically, in this case, we know that the air will fill up the entire mass of the volleyball.

So, by calculating the volume of the volleyball, we have successfully calculated the volume of air.

Mathematically, from the question, we already have the formula to use

v=4/3πr^3

Where π = 22/7

r = diameter/2 = 8.5/2 = 4.25 inches

Substituting these values into the volume equation, we have;

V = 4/3 * 22/7 * 4.25^3 = 321.68 inches^3

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Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of
Nezavi [6.7K]

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

x = 56 - y

The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that

z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55

27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44

27.71 - 0.26y = 23.55

- 0.26y = 23.55 - 27.71

- 0.26y = - 4.16

y = - 4.16/ - 0.26y

y = 16

x = 56 - y = 56 - 16

x = 40

z = y + 9 = 16 + 9

z = 25

7 0
3 years ago
Please help me with 7 and 10!! i’ll mark you brainliest:)
Irina-Kira [14]

Answer:

7. 18,480 feet

10. (a.) 1.5     (b.) 150%     Sorry I don't know the answers to c & d.

Step-by-step explanation:

7. \frac{3.5 miles}{1 ft.} × \frac{5,280 ft.}{1 mile} = 18,480ft.

Hope this helps!

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Answer:

\large\boxed{(f-g)(x)=x^3-3x+2}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2

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Solution to the equation-4|-2x+6|=-24
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