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

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How do I calculate the length of the radius?

Community Answer

The radius is half of the diameter. If you know the diameter, just divide that by two to find the radius.

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Question

How can I find a cylinder's volume when I know height and diameter?

Community Answer

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

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Question

How do I calculate the volume of a water tank?

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Measure the tank and calculate the volume like a normal cylinder. If it's irregularly shaped, just fill it with water until it's full, and however much water you filled it is its volume.

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Question

How can I find the height and radius of a cylinder if I only have the volume?

Community Answer

You can't. You need at least one of either height or radius. Since the volume V of a right circular cylinder is given by V = πr²h. This leads to: h = πr²/V ; r = +√(πh/V). What the above expressions mean is that you need to know two of the variables to determine the other. Note also that if V > 0, then both r and h must also be greater than 0.

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Question

How do I convert cubic inches to gallons?

Donagan

Top Answerer

Divide by 231.

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What is the formula if only the diameter is given, but the height and volume are unknown?

Community Answer

You can divide the diameter by 2 to get the radius, square the radius and multiply it by pi and get the area of the base, but since you don't have height or volume, you wouldn't be able to solve the equation v=bh.

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Question

What is the volume of the cylinder if the cylinder is 1 meter full, and it's height is 20 meters, radius 1.2 meters?

Community Answer

The volume of cylinder: r squared times pi times height= 1.2 times 1.2 times pi times 20 = 1.44 times pi times 20 which is around 90.48 meters squared. Volume of water: r squared times pi times height = 1.2 times 1.2 times pi times 1 = 1.44 times pi which is around 4.52 meters squared.

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Question

How do I change 800 cm into meters?

Donagan

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Divide by 100.

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Question

Is this measured in cubic units?

Community Answer

Yes.

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Question

A classmate says you should use the formula (V=bh). Is this right?

Donagan

Top Answerer

That's true, where "b" is the area of the circular base of the cylinder, and "h" is the cylinder's height, as explained in the final step in the above article.

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A spherical gasoline tank has been drained. If the result was 65,450 cubic feet of gasoline, what was the diameter?

Donagan

Top Answerer

Multiply the volume by 3 and divide by 4. Divide again by pi. Find the cube root of that number. Double it. That's the diameter.

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Question

How many gallons in a circular tank 38" wide and 48" deep?

Donagan

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Calculate the volume of the tank as shown in the article above. Divide the volume (in cubic inches) by 231 to find U.S. gallons.

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Question

How do I change cubic inches into cubic yards?

Donagan

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Divide cubic inches by 46,656.

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Question

How do I calculate the number of quarts in a flower pot?

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Measure the height and the diameter of the pot. Calculate the volume using the height and half the diameter, then use the conversion factor to convert to quarts. One quart equals roughly 58 cubic inches or 946 cubic centimeters.

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Question

How do I find the volume of a cylinder when I have a radius of inches and feet?

Community Answer

You would have the same mathematical formula, your units would simply be different. Normally volume is measured in cubic centimeters, but you could calculate it in inches or feet, then use a converter to find the volume in cubic centimeters. I would advise that you convert your measurements into centimeters first and then use your volume formula.

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Question

How do I convert cubic feet to cubic yards?

Donagan

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Divide cubic feet by 27.

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Question

I have 2 cylinders same height, volume of 2nd cylinder is 16x volume of the first. What's the radius of the 2nd cylinder?

Donagan

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Four times the first radius.

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Question

How can I change millimeters into meters?

Donagan

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Divide millimeters by 1,000.

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Question

Volume of a cylinder in quarts?

Donagan

Top Answerer

If you know the volume in cubic inches, divide by 231. If you know the volume in cubic centimeters, divide by 3,785.4.

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Question

How do I find how many liters are in a cylinder when the volume is known?

Donagan

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If the volume is expressed in cubic centimeters, divide by 1,000.

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Question

How do I calculate gallons in a cylinder?

Donagan

Top Answerer

Calculate the volume. If you're using inches, divide the volume by 231 to find gallons. If you're using feet, divide by 0.134 to get gallons. If you're using centimeters, divide by 3,785.4.

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Question

How can I find the volume of cylinder whose base area is 784cm2 and h is 31cm?

Donagan

Top Answerer

Volume is base area multiplied by height.

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Question

How do I find the volume of a pipe in inches?

Donagan

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Multiply pi by the square of the inside radius, then multiply by the length of the pipe.

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How do I find the liter capacity of my water tank?

Donagan

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Calculate the volume in cubic centimeters, and divide by 1,000.

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How do I convert cubic inches to cups?

Donagan

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Divide cubic inches by 14.4375.

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Question

I have only height and perimeter, how do I find the volume of a cylinder?

Donagan

Top Answerer

Divide the circumference (perimeter) by pi. That gives you the diameter. Divide by 2. That's the radius. Square the radius and multiply by pi. That gives you the area of the circular end. Multiply that area by the height. That's the volume.

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Question

How do I find the volume of a sphere?

Donagan

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The volume of a sphere is (4/3)(πr³), where r is the radius.

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Question

How would I convert cubic cm to ml?

Community Answer

A cubic centimeter is the same thing as a milliliter.

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Question

How many liters in a cubic meter?

Donagan

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There are 1,000 liters in a cubic meter.

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Question

How do I work out the volume of a cylinder if I only know the height?

Community Answer

You cannot. You need other measurements. Knowing only the height, you would only be able to work out probabilities.

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