Question

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

Answer 1

• Height = 9 cm which means Option C is the answer

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 ,

`</p><p> \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) * h = 225`

`\longmapsto \: 25h = 225`

Step 3 : Transposing 25 to right hand side :

`\longmapsto \: h = (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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