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AlekseyPX
3 years ago
8

A cylindrical canister contains three tennis balls. Assume the tennis balls touch the sides of the canister and the top and bott

om with no gaps. If each ball is 2.7 inches in diameter, how much wasted space is in the canister? Round to the nearest hundredth. A) 10.31 in3 B) 15.46 in3 C) 18.04 in3 D) 30.92 in
Mathematics
2 answers:
Katen [24]3 years ago
7 0
The answer is (B) for this question
Vinvika [58]3 years ago
7 0

Answer:

Option B) 15.46 inch³

Step-by-step explanation:

A cylindrical container contains three tennis balls.These balls touch the sides of the container and the top and the bottom with no gaps.

Therefore radius and height of the cylindrical container will be decided by the radius of single tennis ball and total of diameters of the balls respectively.

To be more clear radius of the container = radius of the ball = 2.7/2 = 1.35 inches

Height of the container = 3× diameter of a ball = 3×2.7 = 8.1 inches

Now wasted space in the container = volume of container - 3×volume of a ball

volume of the cylindrical container = π×r²×h = 3.14 × (1.35)²×(8.1) = 46.36 inch³

Volume of a ball = (4/3)×π×r³ = (4/3)×3.14×(1.35)³ = 10.30 inch³

Wasted space = 46.36 - 3×(10.30) = 46.36 - 30.90 = 15.46 inch³

Option B is the answer.

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What is the answer to:
velikii [3]
Weird way to write it but alright! (Sideways) 

19pq^-2 x 5pq^6 = ?

These problems are pretty much single operations between each of the variables / constants. 

So it's like this: 

(19*5)(p*p)(q^-2*q^6) = ?

19*5 is 95.

For p*p remember that when two variables multiply there given powers add. In the case where the powers are not shown (like in the case of p*p) they are always assumed to be 1. So what is 1+1? 2. 

p*p is p^2

For q^-2*q^6 it is the same deal with the previous problem. So now the problem looks like this: 

-2 + 6 = 4 
(The two is negative, because the power is negative 2) 

So, q^4. 

Our final answer is all of the combined.... like a so: 

95p^2q^4
3 0
3 years ago
At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
3 years ago
Select the equations that are correct.mark all that apply.
allsm [11]

Answer:

17,550÷65=270  Correct

11,196÷12=933  Correct

11,712÷96=122 Correct

Step-by-step explanation:

17,550÷65=270  Correct

11,196÷12=933  Correct

29,365÷35=677  Incorrect

11,712÷96=122 Correct

4 0
3 years ago
a new car is purchased for 207000 dollars. the value of the car depreciates at 11% per year. what will the value of the car be,
kicyunya [14]
Depreciation of 11% per year means that the price is multiplied by 89% (0.89) every year. Do this 11 times or use exponents

Final price:
207000*(0.89^11) = 57446.083
7 0
3 years ago
A music teacher budgets $150 for a new book. The minimum cost of a new book is $12. How many books can she buy? Is this a minimu
andreyandreev [35.5K]
She can buy a maximum of 12 books for her music class
4 0
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