Q&A for How to Calculate the Volume of a Cone

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What if the given is slant height and base? How to find the volume of cone?

Community Answer

Use the Pythagorean Theorem to find the height, using the slant length as the hypotenuse and half the base as one side.

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Question

If I double the height, will I double the volume?

Donagan

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Yes.

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Question

How do I find the volume of a cone if the diameter is given, not the radius?

Community Answer

Since the volume of a cone is pi times the radius squared times the height divided by 3, if you know the diameter, you simply divide by two to find the radius, which you then plug into the formula.

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Question

If the quadrant of a circle of radius 14 cm is folded to a cone, how can I find the radius of this cone?

Donagan

Top Answerer

Double the radius, and multiply that by pi: that's the circumference of the circle. Divide by 4: that's the arc of the quadrant and the circumference of the cone. Divide by twice pi: that's the radius of the cone.

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Question

How do I get the total surface area of a cone?

Donagan

Top Answerer

For a right cone, the lateral surface area is πrl, where r is the radius and l is the slant height. If you want to include the base area, add πr².

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Where did the 1/3 in the formula come from?

Community Answer

The volume of a cone is one-third the volume of a cylinder of the same height and radius.

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How do I calculate the radius of a base of a cone?

Donagan

Top Answerer

You must be given either the diameter of the base, the area of the base, the circumference of the base, or the volume of the cone. Then work backwards to the radius from the formula for the volume, base area or base circumference of a cone.

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Question

Given the height and radius of a cone are 3 cm and 4 cm respectively, calculate the total surface area of the cone.

Donagan

Top Answerer

With the Pythagorean theorem, use the radius and the height to calculate the slant height of the cone, then multiply the slant height by the radius by pi. That gives you the lateral area of the cone. To that you add the base area of the cone, which is found by multiplying pi by the square of the radius. The total surface area is found by adding the lateral surface area to the base area.

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Question

How do I work out the perpendicular height of a cone without any radii or volume measures?

Donagan

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You can't do it.

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Question

How to find the volume of a cylinder if the known volume of a cone is 242.1?

Donagan

Top Answerer

Assuming the heights of the cone and cylinder are equal and the area of the cone's circle equals the area of one of the ends of the cylinder, you simply triple the volume of the cone to get the volume of the cylinder.

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How do I calculate the radius of a cone if the volume is given?

Donagan

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You would also have to know the height of the cone. Then you would work backwards from the volume formula.

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Question

What are the dimensions of a cone that is 432 cm?

Donagan

Top Answerer

Assuming that you know the volume, there are two other variables involved in a cone, the radius and the height. You have to know one of them to find the other.

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Question

How can I calculate this with only the slant height known?

Donagan

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You cannot calculate volume if only the slant height is known.

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Question

How do I find the diameter of a cone if I already have volume and height?

Donagan

Top Answerer

The formula for the diameter of a cone is: 2√(3V / hπ), where V is the volume and h is the height.

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Question

How do I find the height of a cone if I know the radius and slope angle?

Donagan

Top Answerer

Look up the tangent of the angle. Set the tangent equal to the height divided by half the radius. Then solve for the height.

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Question

Can I find volume with only height and diameter?

Donagan

Top Answerer

No. Divide the diameter by 2 to get the radius, then use the volume formula.

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How do I determine the value of pi?

Donagan

Top Answerer

Use 3.14 or 22/7.

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Question

How do I find the volume of a cone if I only know the circumference and the height?

Donagan

Top Answerer

Divide the circumference by pi to find the diameter. Divide by 2 to get the radius. Plug the radius and the height into the volume formula.

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Question

How can I find a radius?

Community Answer

Divide the diameter by 2. The equation is r=d/2.

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Question

How do I find the volume of a cone with only the radius?

Community Answer

You can't find the volume of a cone with only the radius. You will need the height as well.

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Question

What is the formula for the surface area of a full cone, not half a cone?

Community Answer

Surface area of a cone = πrs + πr2. Basically all you're doing here is finding the circular bottoms area, and adding it to the lateral area (πrs).

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Question

How do I find the volume of a cone in terms of pi when I know the base diameter and height?

Community Answer

Diameter is twice the radius, so halve that and plug it into the equation pi * radius squared * height, divided by three.

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Question

How do I calculate the volume of a cone when I know the base diameter, height and top diameter?

Community Answer

Divide the base diameter by 2, which will give you the radius, then insert this value in the formula.

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Question

How do I find the volume of a cone if I'm given the height and circumference?

Community Answer

V = π ∙ r2 ∙ h / 3, where π ∙ r2 is the base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used. Example 1: Find the volume of the cone, whose radius is 8 cm and height is 5 cm.

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Question

What is the formula for a cone?

Tina X

Community Answer

The formula for the volume of a cone is V=1/3 x hπr². You can also understand it as V hπr²/3.

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How do you find the height when given the diameter and volume?

Donagan

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First divide the diameter by 2 to get the radius. Then use this formula: h = (3V) / (πr²), where h is the height, V is the volume, and r is the radius.

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Find volume of a cylinder?

Donagan

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Volume equals pi, multiplied by the square of the radius, multiplied by the height. V = πr²h.

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How do I figure out the square root of something?

Donagan

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Use a calculator or see Calculate a Square Root by Hand .

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Question

How do I find the radius if the question gives me diameter?

Donagan

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The radius is half the diameter.

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Question

What is a "0.5in"? 0.5 in what?

Donagan

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It means half an inch.

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