Volume of a cone = (1/3)*(area of base)*(height). Area of a circle = pi*radius². But you know circumference. Circumference = 2*pi*radius.
Rearrange: radius = C/2/pi. Substitute this in for radius above: Area = pi*(C/2/pi)² = C²/(4*pi).
Volume = C²*h/(12*pi) [C is circumference, h is height]
A circumference of 2 means a radius of 0.318. Thus, the volume of this cone is 0.477 units3
You will also need the height of the cone. From circumference you can calculate the radius (circumf/Pi = radius). Volume of cone = 1/3 height x Pi x radius2
volume of a cone = 1/3 x pi x radius2 x height Rearrange the formula: height = volume of cone divided by 1/3 x pi x radius2
The height of a cone can be expressed in relation to its volume and base area. The formula for the volume ( V ) of a cone is given by ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base and ( h ) is the height. To find the height, you can rearrange this formula to ( h = \frac{3V}{\pi r^2} ). Thus, knowing the volume and the base radius allows you to calculate the height of the cone.
Knowing its formula is more important which is: 1/3*pi*radius squared*height
The volume of this cone is 37,699 cm3
Volume of a cone = 1/3*pi*radius2*height
A cone with a base of 10cm and a height of 13cm has a volume of 340.34cm3
Volume of a cone = 1/3*pi*radius2*height
Cone volume = ( pi * radius2 * height ) / 3
A cone with a radius of 3 and a volume of 37.7 has a height of about 4 units.
A cone with a radius of 3 and height of 3 has a volume of 28.27 units3