The following lines: y=2/3(x) and y=-3/2(x) are...

What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

Step 2 : Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

Henceforth , height of cylinder is 9 cm

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Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

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The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$