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strojnjashka [21]
3 years ago
5

the diameter of a spherical basketball is 10 inches what is the volume of the basketball give the exact solution or round your a

nswer to the nearest cubic inch. plzzzzzz!!!! urgent!!!!!!!
Mathematics
2 answers:
DiKsa [7]3 years ago
7 0
Volume of a sphere is 4/3(pi r ^3)

You were given d = 10 so r = 5

Then just plug and chug
Mkey [24]3 years ago
6 0

Answer:

Exact volume:  

\displaystyle\frac{500}{3}\pi \text{ in}^3

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

\displaystyle V=\frac{4}{3}\pi r^3

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

\displaystyle V=\frac{4}{3}\pi (5)^3

Then we get:

\displaystyle V=\frac{4}{3}\pi (125)=\frac{500}{3}\pi

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

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What is the surface area of the triangular prism?
Svetlanka [38]

Answer:

84

Step-by-step explanation:

Using pythag theorem we can find the last side of the triangle, which is equal to 5 after we have this we simply add up the areas of each individual shape like (1/2*3*4)+(1/2*3*4)+(6*5)+(3*6)+(4*6)

6 0
3 years ago
Find the y-intercept and the slope of the line.<br> 6x-2y=5
solmaris [256]

Answer:

m=3

b=(0,5)

Step-by-step explanation:

6 0
2 years ago
An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be &gt;3
liraira [26]

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

3 0
3 years ago
2 pts
katrin2010 [14]

Answer:

It is a binomial and the degree is 9

4 0
3 years ago
Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ&gt;0
eduard
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2787701

_______________


\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\&#10;\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\&#10;\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}


Square both sides:

\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\&#10;\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\&#10;\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\&#10;\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}

\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\&#10;\mathsf{17\,sin^2\,\theta=1}\\\\&#10;\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\&#10;\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\&#10;\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}


Since \mathsf{sin\,\theta} is positive, you can discard the negative sign. So,

\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}


Substitute this value back into \mathsf{(i)} to find \mathsf{cos\,\theta:}

\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\&#10;\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}


I hope this helps. =)


Tags:   <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0
3 years ago
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