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Video: Finding the Volume of a Cylinder

Kathryn Kingham

Work out the volume of the cylinder, giving your answer accurate to two decimal places.

02:21

Video Transcript

Work out the volume of the cylinder, giving your answer accurate to two decimal places.

The volume is going to equal the area of the base times the height. The bases of a cylinder are the two circle parts on either end. And we can find the area of a circle by multiplying 𝜋 times the radius squared. The height of the cylinder is the distance between the two bases.

Now that we’ve labelled everything, let’s plug in what we know to solve for the volume. The radius of our base is five, and the height of our cylinder is seven. Five squared equals 25. 25 times seven equals 175. We’ll plug 175 times 𝜋 into a calculator to try and get the most accurate answer possible. And the calculator gives me 549.7787144 continuing.

We wanna know what’s accurate to two decimal places; round to the nearest hundredth. Because eight is greater than four, we’ll round the seven in the hundredth place to an eight, which gives us a volume of 549.78.

But 549.78 what? Units. Since we weren’t given any specific units, we’ll just write the word units. But we’re still not quite finished. Our unit is missing something. Since we’re dealing with volume, we must write units cubed.

The volume of this cylinder is 549.78 units cubed.