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liberstina [14]
3 years ago
12

A sports ball has a diameter of 12 cm. Find the volume of the ball. Round your answer to 2 decimal places, and use 3.14 as an ap

proximation of πv= _____ cm^3
Mathematics
1 answer:
Kitty [74]3 years ago
7 0

A ball is a shpere and the formula for calculating the volume of a sphere is:

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


The formula in our case:

V = \frac{4}{3}*3,14*6^{3}

V = \frac{4}{3} * 3,14 * 216

V = \frac{12,56}{3} * 216

V = 4,19 * 216

V = 905,04~cm^{3}


Answer:

\boxed{\bf~The~volume~of~the~ball~is~905,04~cm^{3} }


Hope it helped,


BioTeacher101

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I need some help with this:)I'll apreciate the answers.
Travka [436]
Part A: The discounted monthly fee is $22.49 (original cost of $29.99 multiplied by 75%, the amount the customer would pay since 25% is discounted.) Since you would also pay $44.99 for setup, your equation is $44.99+$22.49m Part B: Add 1.08 (108%; the customer pays 100% of the cost plus 8% more for tax) to your equation for the sales tax. 1.08(44.99+22.49m) Part C: Plug in 4 for m (m represents months). 1.08(44.99+22.49•4) 1.08(44.99+89.96) 1.08(134.95) $145.75 Hope that helps. Let me know if you need more assistance :)
7 0
3 years ago
Please help me solve this 5^2x=7^x+1
denis23 [38]

Answer:

x=\frac{ln7}{2ln5-ln7}

Step-by-step explanation:

5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7

⇔ x = ln7/(2ln5-ln7)

7 0
3 years ago
Read 2 more answers
in the second half of the game, the Wildcats again scored 18 points. This time, however, we don't know how many total shots were
Kobotan [32]

Lets start with the chain of 3's:

18 = 3 + 3 + 3 + 3 + 3 + 3          

But, we know that

3 + 3 = 2 + 2 + 2

Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.

Hence, the possible ways of combinations are listed below:

18 = 3 + 3 + 3 + 3 + 2 + 2 + 2                        (1)

18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2                  (2)

Therefore, there are two combinations of 2- and 3- point shots that could total 18 points.

3 0
3 years ago
Find the sum of the constants a, h, and k such that
ra1l [238]

Answer:

  3

Step-by-step explanation:

The value of "a" is the coefficient of x^2, so we know that is 2.

__

<u>Solve for h</u>

Now, we have ...

  2x^2 -8x +7 = 2(x -h)^2 +k

Expanding the right side gives us ...

  = 2(x^2 -2hx +h^2) +k

  = 2x^2 -4hx +2h^2 +k

Comparing x-terms, we see ...

  -4hx = -8x

  h = (-8x)/(-4x) = 2

__

<u>Solve for k</u>

Now, we're left with ...

  2h^2 +k = 7 = 2(2^2) +k = 8 +k

Subtracting 8 we find k to be ...

  k = 7 -8 = -1

__

And the sum of constants a, h, and k is ...

  a +h +k = 2 +2 -1 = 3

The sum of the constants is 3.

6 0
4 years ago
PLEASE ANSWER ASAP!!! ILL MARK YOU BRAINLIEST!!<br><br> What is the value of m?
Marizza181 [45]
It's three the m means nothing in this case
6 0
3 years ago
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