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Ann [662]
3 years ago
8

The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubi

c inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7 inches?
Mathematics
2 answers:
Ad libitum [116K]3 years ago
7 0

Answer with Step-by-step explanation:

The volume of cylinder is given by

V=πr²h

Where r is the radius and h is the height

The volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches.

50.265=π×2²×4

⇒ π=50.265/16

Now when r=3 inches and h=7 inches

V=π×3²×7

V=\dfrac{50.265}{16}\times 9\times 7\\ \\V=199.336

Hence, volume of the cylinder when the radius is 3 inches and the height is 7 inches is:

199.336 cubic inches

kvv77 [185]3 years ago
3 0
Just use the formula v = pi.(r^2).h that gives v = 9pi.7 that gives approximately 197.92 cubic inches.
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Step-by-step explanation:

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AP Statistics Quiz 10.2
guapka [62]

Answer:

Hello some data related to your question is missing attached below is the missing data

a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )

b) <em>( 3.819 , 8.5226 ) </em>

Step-by-step explanation:

Applying the Given data:

The test hypothesis :

H0 : μ1 = μ2

Ha : μ1 > 2

A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures

B ) construct and interpret

next calculate the SP value

S^{2} _{p} = \frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2}    }{n1 + n2 - 2}

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hence : S_{p} = 6273.32

next calculate the value of test statistic

to = ( X1 - X2 - Δo ) / Sp \sqrt{\frac{1}{n1} + \frac{1}{n2}  }

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Answer:

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Step-by-step explanation:

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Answer:

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