In this lesson, you'll learn how to calculate the volume of a cylinder.
It's a three dimensional shape comprising two equal circular ends and a
This is the amount of three dimensional space occupied by the cylinder.
Cylinder volume = area of one of circular ends x height
So if h = cylinder height, the formula becomes
where Vcylinder = volume of cylinder.
Have you noticed the volume of a cone (πr²h) is three times the volume of a cylinder (1/3 x πr²h)? Given the same radius and height, you can fit three cones into one cylinder!
What's the volume of a cylinder with radius (r) 3cm and height (h) 4cm (where cm = centimeters)?
= π x 3² x 4
= 113.1cm³ (cubic centimeters) to 1 d.p. (one decimal place)
Square the radius r on your calculator using x². In order, enter pi sign (π), multiply sign (x), 3, x², multiply sign (x), 4, equals sign (=). The display should show 113.0973355 which is 113.1 to 1 d.p. You may need to use a shift or 2nd function button on your calculator to access x² and π.
= π x 6² x 8
= 904.78m³ (cubic meters) to 2 d.p. (two decimal places)
Grab your calculator again - press pi sign (π), 6, x², multiply sign (x), 8, equals sign (=).
Use different values for radius (r) and height (h) to calculate the volumes of cylinders of varying size.
Your answers should include appropriate units (for example, cubic centimeters cm³, cubic meters m³), together with the number of decimal places (d.p.) to which you are rounding.
Once you feel confident, move on to the next lesson - how to work out the surface area of a cylinder.
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