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Wittaler [7]
3 years ago
7

A right cylinder has a radius of r inches and height of 2r inches.

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

the volume is 6.28r^{3}in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

Volume v =  ?

Radius r =  r in

Height h=   2r in

We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result

we know that the expression for the volume of a cylinder is

v= \pi r^{2} h

v= 3.142*r^{2} *2r\\v= 3.142*2r^{3} \\v= 6.28r^{3} in^{3} \\

Hence the volume in terms of the radius is 6.28r^{3}in ^{3}

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Step-by-step explanation:

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Tell whether the angles are adjacent or vertical. Then find the value of x.
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Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

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Step-by-step explanation:

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3 years ago
A professor records the difference between the marks scored by the students in the class test last week and those scored in the
dezoksy [38]

Answer: (10.82\ , 13.18)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 35  , large sample (n>30)

Mean difference : \overline{x}=12

Standard deviation : \sigma=3

Significance level : \alpha=- 1-0.999=0.001

Critical value : z_{\alpha/2}=z_{0.0005}=3.4807567

Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)

Hence, the  99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = (10.82\ , 13.18)

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3 years ago
The ratio of boys and girls in the school musical is 5 to 8.Which of the following shows the possible numbers of boys and girls
Maurinko [17]

Answer:

I don't see the following ratios.

Step-by-step explanation:

I think you should add the following.

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Read 2 more answers
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