Welcome to cone geometry!
Let's kick off with how to work out the volume of a cone.
A three dimensional shape made up of a flat circular base and a
curved surface which tapers to a point called the apex.
For simplicity, we'll consider a right circular cone - one which has its apex directly above the center of its circular base.
The amount of three dimensional space the cone occupies.
Cone volume = 1/3 x circular base area x perpendicular height
where Vcone = volume of cone.
Use the above formula to calculate volume of cone with base radius (r) 3cm
and perpendicular height (h) 4cm (where cm = centimeters).
= 1/3 x πr²h
= 1/3 x π x 3² x 4
= 37.7cm³ (cubic centimeters) to 1 d.p. (one decimal place)
To square the radius r on your calculator use x². The key stroke sequence for the above example is 1, divide sign (÷), 3, multiply sign (x), pi sign (π), multiply sign (x), 3, x², multiply sign (x), 4, equals sign (=). 37.69911184 should be displayed which is 37.7 to 1 d.p. You may need to access x² and π via a shift or 2nd function button.
= 1/3 x πr²h
= 1/3 x π x 6² x 8
= 301.59m³ (cubic meters) to 2 d.p. (two decimal places)
Enter on your calculator 1, divide sign (÷), 3, multiply sign (x), pi sign (π), 6, x², multiply sign (x), 8, equals sign (=).
Work out the volumes for different size cones by varying the base radius (r) and perpendicular height (h) values.
Learn more here: