A cylinder has a volume of 45 pi and radius of 3 what is the height? Plzz help it’s due tomorrow

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

4 0

Answer:

Height = 5

Step-by-step explanation:

$Solution,\\Volume(V)=45\pi \\Radius(r)=3\\Height(h)=?\\As,\\V=\pi r^{2} h\\45\pi =\pi (3)^{2} h\\\frac{45\pi }{9\pi } =h\\h=5$

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Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$