All categories

2 years ago

A soccer ball has an interior

Mathematics

2 answers:

iVinArrow [24]2 years ago

6 0

<h2>Answer:</h2>

Volume of soccer ball = 4/3πr³

[Plug the value of r = d/2]

Now, Volume = 4/3π(d/2)³

Volume = 4/3πd³/8

= πd³/6

= 22 × 22³/7 × 6

= 234256/42

= 5,577.5cm³ or 5578cm³ approx.

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 = -------------

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

π(22 cm)³

V = ------------------- = 5575 cm³

You might be interested in

Ive.

allochka39001 [22]

Answer:

50 + 200h

Step-by-step explanation:

4 0

2 years ago

Can you plz help me with this, because I don’t know how to do this and can u plz explain how to do it

Alecsey [184]

Answer:

Step-by-step explanation:

You can start this in may ways but let's start by isolating one of the parenthesis:

x (x² - 5) = - (x - 3)

x³ - 5x = -x + 3 (here I multiplied x for what's inside the parenthesis and the "minus" signal by the other parenthesis which was (x - 3))

x³ - 5x + x = 3

x³ -4x = 3

x³ -4x -3 = 0 (now this right here is a "depressed cubic equation" and it's one of the toughest sit of all time, so good luck with that, you might wanna take a look at this:

ytb/watch?v=rNDy2ZFvG1E

or maybe I'm doing something wrong and it's simpler than that, but whaterver...)

4 0

2 years ago

A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, option (1) is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, option (1) is correct.

8 0

2 years ago

Read 2 more answers

1. The diameter of one side of a 10-foot log is approximately 13 inches. The diameter of the other side of the log is approximat

LuckyWell [14K]

To best estimate the volume of the log, we assume that the diameter is the average of the diameters at both ends giving us 12 inches as the diameter. Thus, the radius is equal to 0.5 ft. The volume of the log is calculated through the equation,
V = πr²h = π(0.5 ft)²(10 ft) = 7.85 ft³

7 0

2 years ago

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.