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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.

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Q: How do you find the height of a cone if you only have the volume?
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How do you find the height of a cone knowing only the radius and the volume?

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


How do you find the base if the given is only the slant height and the volume?

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


If you only have radius and height how can you find the volume of a cone?

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.


How do you find the volume of a cylinder if you only know the height?

The volume cannot be determined with only the height known.


How do you find the volume of a rectangular prism given only the height?

You don't. You need the height and the area of the base to find the volume.


How do you find radius if cone knowing only the height?

You must have another parameter


If you only have circumference and height how can you find the volume of the cone?

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


Can you find the volume of a cylinder when they only tell you the base area and the height?

Volume = (height)(area base)


How do you find height of cylinder when you only have volume and radius?

pi*r2*height = volume Make the height the subject of the above formula:- height = volume/(pi*r2)


How do you find the radius of a cone knowing only the volume?

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


How do you find the volume of a cone knowing only the height and circumference?

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]


Can you find the volume of a rectangular prism is you only have the length and height?

No.