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Elden [556K]
3 years ago
10

Consider the following formula used to find the volume of a cone.

Mathematics
2 answers:
Serjik [45]3 years ago
3 0
To get rid of the denominator, you have to multiply each side by three, which leaves πr^2 h = 3V, then to get h alone, you need to divide by πr^2 (Since that's being multiplied by h, you wouldn't subtract), so the end equation would be B.
Vladimir79 [104]3 years ago
3 0
<h2>Answer:</h2>

Option: B is the correct answer.

 The formula that can be used to find the height of the cone is:

                     h=\dfrac{3V}{\pi r^2}

<h2>Step-by-step explanation:</h2>

The formula for finding the volume of a cone is given  by:

             V=\dfrac{1}{3}\pi r^2h

where r is the radius of the base of the cone and h is the height of the cone.

Now in order to find the height of the cone we need to express h in terms of r and V.

h=\dfrac{V}{\dfrac{1}{3}\pi r^2}\\\\\\h=\dfrac{3 V}{\pi r^2}

                     Hence, the formula is:

                       h=\dfrac{3V}{\pi r^2}

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Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  -0.00870

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  n_1  =  1068000

     The first proportion  \r p_1 = 0.084

     The second  sample size is  n_2  =  1476000

     The  second  proportion is  \r p_2 =  0.092

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      \alpha =  (100 - 95)\%

     \alpha =  0.05

From the normal distribution table  we obtain the critical value of  \frac{ \alpha }{2}  the value is  

      Z_{\frac{\alpha }{2} } =z_c=  1.96

Now using the formula from the question to construct the 95% confidence interval we have  

  (\r p_1 - \r p_2  )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }

Here \r q_1 =  1 - \r p_1

  =>   \r q_1 =  1 - 0.084

 =>    \r q =  0.916

and  

   \r q_2 =  1 - \r p_2

 =>   \r q_2 =  1 - 0.092

=>   \r q_2 = 0.908

So  

 (0.084 - 0.092 )- (1.96)*  \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }

  -0.00870

 

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