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muminat
3 years ago
12

A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

The height of cylinder is 9 cm

Step-by-step explanation:

Volume of cylinder = 198 cm³

Base Area = 22 cm²

We need to find height of the cylinder

The formula used is: Volume\:of\:cylinder=\pi r^2h

Where Base\: Area = \pi r^2

First we need to find radius r

Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656

So, we get radius r = 2.656

Putting values of volume and radius are to find height

Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9

So, the height of cylinder is 9 cm

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Keywords: System of equations

Learn more about system of equations at:

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