Ask question

Ask question

All categories

2 years ago

8

Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the b

asketballs have enough air in them. Given that a properly inflated basketball measures 8. 8 inches across, what is the total volume of air inside six of Jakeâ€™s basketballs? Assume that the wall of each ball is infinitely thin. A. 681. 47 cubic inches B. 1,651. 32 cubic inches C. 3,775. 23 cubic inches D. 5,451. 78 cubic inches.

1 answer:

Nataly [62]2 years ago

8 0

The total volume of air inside six of Jake's basketballs is 2140.9074 in³.

<h2 /><h2>volume of sphere</h2>

volume of sphere = $\dfrac{4}{3} \times\pi\times radius^3$

<h3>Given to us,</h3>

properly inflated basketball measures = 8.8 inches across

so, the diameter of each basketball, d = 8.8 inches,

Also, the radius of each basketball, r = 4.4 inches,

Assumption has given, that the wall of each ball is infinitely thin.

As we know a basketball is a sphere in shape, thus,

$\begin{aligned}Volume &= \dfrac{4}{3} \times\pi\times radius^3\\&= \dfrac{4}{3} \times\pi\times 4.4^3\\&= 356.8179\ in^3\\\end{aligned}$

A Total volume of air inside six of Jake's basketballs =volume of 1 basketball x 6

$\begin{aligned}Volume\ of\ six\ basketball &= 356.81790\times6\\&=2,140.9074\ in^3\end{aligned}$

Hence, the total volume of air inside six of Jake's basketballs is 2140.9074 in³.

To know more visit:

brainly.com/question/364206

You might be interested in

Hi! Will someone please tell me if I am right. If I am not, please explain why. Thanks!

Aleks [24]

You are correct! Good job!

5 0

2 years ago

Draw a line through all points with a y-coordinate of -3.

Sedbober [7]

Answer:

See image below

Step-by-step explanation:

We want to draw a line through all points with a y-coordinate of -3; first let's observe some of these points: (-3,-3), (0,-3), (1,-3), (10,-3) are all part of this line.

We can see that what all these points have in common are that they have -3 in the y axis. Therefore, the graph of the line would be y = -3

This line is drawn in the graph below.

3 0

2 years ago

Please help me with the below question.

tresset_1 [31]

We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

To learn more on piecewise function: brainly.com/question/12561612

#SPJ1

8 0

2 years ago

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

6 0

2 years ago

Neural tube defects are birth defects of the __________ and __________. A. neurons . . . umbilical cord B. brain . . . spinal co

raketka [301]

Answer:

b

Step-by-step explanation:

6 0

3 years ago