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olasank [31]
2 years ago
9

A soccer ball has an interior

Mathematics
2 answers:
iVinArrow [24]2 years ago
6 0
<h2>Answer:</h2>

<u>Volume of soccer ball = 4/3πr³</u>

[Plug the value of r = d/2]

Now, <u>Volume = 4/3π(d/2)³</u>

<u>Volume = 4/3πd³/8</u>

= πd³/6

= 22 × 22³/7 × 6

= 234256/42

= <u>5,577.5cm³ or 5578cm³ approx</u>.

AnnZ [28]2 years ago
4 0

Answer:

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V = -------------

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = ------------------- = 5575 cm³

              6

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dusya [7]

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given:   Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

                           =(1/3)π(2²)(7)

                           =29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

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7 0
3 years ago
What is the value of y in the equation 6 + y = −3?
oee [108]
The value of y is -9
6 0
3 years ago
-3/8p=9 how do you isolate p?
LenKa [72]

Answer:

multiply both sides by 8 then divide by -3

or in one step divide both sides by (-3/8) which is the same as multiplying by

(-8/3)...

-3p = 72

p = -24

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP!!!
NemiM [27]

Answer:

D. 2 3 • 3 2 • 5

Step-by-step explanation:

ig I need at least 20 characters to submit my answer. :)

8 0
3 years ago
∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)
Mnenie [13.5K]
Parameterize the line segment C by

\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle

where t\in[0,1]. Then

\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt
\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt
\mathrm ds=5\,\mathrm dt

So the integral is

\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt
=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt
=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516
3 0
3 years ago
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