Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

absor201

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: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]

Where [tex]Base\: Area = \pi r^2[/tex]

First we need to find radius r

[tex]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[/tex]

So, we get radius r = 2.656

Putting values of volume and radius are to find height

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

So, the height of cylinder is 9 cm

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.