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maria [59]
3 years ago
12

A sports ball has a diameter of 12 cm. Find the volume of the ball.

Mathematics
2 answers:
velikii [3]3 years ago
8 0

The volume of a sphere is \frac{4}{3}πr³

If the diameter is 12 cm, divide that in half to get the radius, which is 6.

Now, just plug your variables into the equation for volume.

V = \frac{4}{3}(3.14)6³

V= \frac{4}{3}(678.24)

V= 904.32 cm³

stealth61 [152]3 years ago
5 0
Step 1: I drew a visual representation

Step 2: write the formulae for the volume of a sphere which is V=4*PI*r cubed all divided by 3. Refer to my image

Step 3: answer is 7234.56 cm cubed

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7 divided by 6592 in long divison algorithm, not using decimals​
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941 with a remainder of 5
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2 years ago
A recipe says to use 3cups of flour to make 48 cookies. What is a constant of proportionality that related the number of cookies
MA_775_DIABLO [31]

Answer:

y=16 x=1

Step-by-step explanation:

For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.

6 0
3 years ago
The temperatures at 6:00 am one morning in four cities are given below.
Andre45 [30]

Answer:

-9

Step-by-step explanation:

8 0
2 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
2 years ago
Help me please. What is (2a+8) + (4a +5)
Rom4ik [11]

Answer:

6a + 13

Step-by-step explanation:

2a + 4a = 6a

8 + 5 = 13

6a + 13

8 0
2 years ago
Read 2 more answers
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