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nevsk [136]
3 years ago
6

suppose a spherical snowball with a diameter of 6 centimeters is melted in a large bowl. the resulting water is then poured into

a cone-shaped paper cup that is 10 centimeters deep and has a diameter of 6 centimeters. the water overflows the paper cup, as the volume of the snowball turns out to be more than that of the paper cup. how much greater is the snowball's volume than that of the cone-shaped cup?
Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

18.8 cm cubed

Step-by-step explanation:

So first thing is that we need to find the volume of both shapes. We have a cone and a sphere.

Volume of a sphere is: 4/3π r^3

Volume of a cone: 1/3π r^2 h

I found that the volume of the sphere is 113.04 and the volume of the cone is 94.2.

Now, we have to subtract:

113.04- 94.2=

18.8 cm cubed

scoray [572]3 years ago
5 0
Oooh fun!

Alright, 

formula for a sphere is (4\pir^3)3
4*pi*6^3=2714.34/3
904.78

Now you can do this 2 ways. First is that a cone is 1/3 of a sphere with the same radius so just take 904.78 and multiply it by 1/3 and then by 2 to get 2/3 of it or do this.

cone~ (6^2*pi*10)/3
376.99

and subtract

<span>904.78-376.99=527.79
</span>
<span>527.79^3 greater. Check my math. I could be wrong.</span>
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Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
Lyrx [107]

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

4 0
3 years ago
Mary buys hamburger buns in packs of 8 for $3. Mary has only $30 to spend. How many packs
Nata [24]

answer:

10 packs

Step-by-step explanation:

just do 30/3 and you get the answer!!!

:)

6 0
3 years ago
Read 2 more answers
If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1
Aleksandr [31]

Answer:

B. s=\dfrac{1}{4}\times420

Step-by-step explanation:

Total number of students surveyed = 420

Of which only \dfrac{1}{4} prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105

The number of students that prefer rap is 105

So the equation is s=\dfrac{1}{4}\times420.

3 0
3 years ago
How do i do #3? I dont know how to do the whole problem.
lisov135 [29]
You have to put the problem down we cant help you if its not there
sorry but please put equation in or problem
3 0
3 years ago
Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for r
butalik [34]

The missing part of the question is show in bold format.

Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for rolling it

once. Your probability model shows a probable outcome of 1/6 for each of the numbers on the cube, 1 chance for all any of the 6 numbers.

You roll it 500 times and get the following data:

Outcome 1 2 3 4 5 6

Frequency 77 92 75 90 76 90

Exercises 1–2

1. If the equality model was correct, about how many of each outcome

would you expect to see if the cube is rolled 500 times

2. Based on the data from the 500 rolls, how often were odd numbers observed? How often were even numbers observed?

Answer:

Step-by-step explanation:

1.

If the equally likely model was correct,  about how many of each outcome

would you expect to see if the cube is rolled 500 times.

The probability of rolling any of the numbers from 1 to 6 is  p(1/6)

The number of each of the outcomes expected to be seen in 500 rolls of the number cube is np

= 500 * \frac{1}{6}  \\ \\ = \frac{500}{6} \\ \\  = 83.333 \\ \\ \approx 83

2.  From the given data in the roll;

The odd numbers 1, 3 and 5, were obtained at  77, 75 and 76 times respectively.

Thus, the total number of times odd number were rolled = 77 + 75 + 76 = 228

Probability of an odd number turning up = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{228}{500}

= 0.456

= 45.6%

The even numbers, 2, 4 and 6, were obtained 92, 90 and 90 times respectively.

The total number of times even number were rolled = 92 + 90 + 90 = 272

Probability of an even number turning up  = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{272}{500}

= 0.544

= 54.4%

4 0
3 years ago
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