The volume of a cone is given by the formula V =⅓πr2h where r is the radius of the base and h is the vertical height.
If the volume is known there are still two unknowns, r and h and therefore the problem cannot be solved without at least one further piece of relevant information.
Presumably it's a cone or a pyramid: 1/3*base area*height = volume Make the base area the subject of the formula: base area = (volume*3)/height
The volume cannot be determined with only the height known.
You don't. You need the height and the area of the base to find the volume.
You must have another parameter
The volume of a cone is equal to 1/3 pi*r2*h. C=2*pi*r, so r=C/(2*pi) and V=1/3*[C/(2*pi)]2*h
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
Presumably it's a cone or a pyramid: 1/3*base area*height = volume Make the base area the subject of the formula: base area = (volume*3)/height
Assuming the cone has a constant slope, I think it's Pi (about 3.141... Google it) times by the height, times by the radius squared, divide by 3. You may have to use the slope height (use Pythagoras for this), but I think it's just height.
The volume cannot be determined with only the height known.
You don't. You need the height and the area of the base to find the volume.
You must have another parameter
The volume of a cone is equal to 1/3 pi*r2*h. C=2*pi*r, so r=C/(2*pi) and V=1/3*[C/(2*pi)]2*h
Volume = (height)(area base)
pi*r2*height = volume Make the height the subject of the above formula:- height = volume/(pi*r2)
I cannot imagine you could. both the radius and the height are considered in it's volume formula. this stands to reason as two cones of different radii can have the same volume, by the larger radius one having a smaller height and vice versa
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]
No.