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Q&A for How to Calculate the Volume of a Sphere
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QuestionHow do I calculate the volume of a sphere if neither the radius nor the diameter is given?DonaganTop AnswererIf you know the surface area, solve the area formula for the radius, and use that to find the volume. Without the radius, you can't determine the volume.
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QuestionWhy is the formula not V = pi x R squared x H?Diante WattsCommunity AnswerHeight is not included when measuring spheres, since usually they are congruent in all directions; it wouldn't be a necessity, because the radius is included.
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QuestionHow can I tell the volume with only the diameter given?Community AnswerDivide the diameter by 2, giving you the radius and continue from there.
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QuestionHow do I find the volume with only the circumference given?Community AnswerUse the circumference formula (C=2πr) and rearrange it to solve for the radius (r=C/2π). Once you have the radius (r), you can use that value in the volume of a sphere formula (V = 4/3πr³).
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QuestionWhat is the volume of a sphere if the radius is 6?Smile HappyCommunity AnswerUse the formula V= 4/3(3.14)(6^3). 6*6*6 = 216, V= 4/3*3.14*216, V=4*3.14*216= 2,712.96, 2,712.96/3 = 904.32. So the volume would be 904.32.
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QuestionHow can I find the surface area of a cylinder?Community AnswerA cylinder's "curved" part is really just a rectangle with the one side as the circumference of the circular base of the cylinder. The other side is the height of the cylinder. Using the area of a rectangle formula, the surface area can then be written as: A = (2 * pi * r) * (h) = 2* pi * r * h. If you are including the circle ends of the cylinder, then add 2 * the area of the circle : 2 * pi * r * h + 2 * pi * r^2.
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QuestionHow do I find the diameter with only the volume given?DonaganTop AnswererUse the volume formula to solve for the radius, then double the radius.
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QuestionI need to know the volume of a cylindrical water tank with ellipsoidal bases.Community AnswerV=pi *a*b*h where "a" and "b" are the semi-major and semi-minor axes of the ellipse, and "h" is the height of the cylinder.
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QuestionBetween a sphere 32 mm diameter and a sphere 18 mm diameter, what is percentage difference?DonaganTop AnswererIf you're asking only about the diameters, divide 18 by 32. That gives you a decimal number. Multiply it by 100 to get what percentage 18 is of 32. If you want to compare the two volumes, you'll have to cube each diameter and then perform the same division operation.
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QuestionIf one sphere is 1000 times larger in diameter than another, how many times larger is its volume?DonaganTop AnswererOne billion times larger. 1,000 cubed is 1,000,000,000.
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QuestionIf a sphere is placed on a flat surface, how do I calculate the actual amount of the sphere that is making contact with the flat surface?DonaganTop AnswererTheoretically there is only a point (and not an "area") that contacts the flat surface. In practice, there is no formula for finding the area that actually touches the surface.
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QuestionHow would I multiply 4/3 by pi or the radius?DonaganTop Answerer4/3 πr³ means to multiply 4 by π (3.14), then multiply by the cube of the radius, then divide by 3.
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QuestionWhat radius is needed to have a sphere hold 30 ml of water?DonaganTop AnswererTake the volume formula, set it equal to 30 ml, and solve for r.
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QuestionHow do I find the volume of half a sphere?EtreithegrandCommunity AnswerSimply divide the value that you'll get from finding the volume of a sphere by 2. For example: (4/3 (3.14) (r^3)) 1/2. Find the value of the whole sphere first then divide by 2. But if only the half sphere's values are given, try this formula: V= (3.14) (r^2)
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QuestionWhat is the volume of earth in cubic miles?DonaganTop AnswererUsing an average radius of 3,960 miles, the volume of the Earth is approximately 2.6 x 10^11 cubic miles.
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QuestionWhat will be the answer if the radius is 8 cm?Tom De BackerTop AnswererThe formula for the volume (V) of a sphere is V = 4/3 x pi x r³. So take your radius, 8 cm, and cube it (8 x 8 x 8), which gives 512. Multiply by pi, which is 1.608,4954, and multiply by 4/3, which gives 2.144,6605 cm³.
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QuestionHow do I find the radius of a spherical tank of 1200 cubed meters?Tom De BackerTop AnswererYou have to work the formula around to isolate r. The formula is V = 4/3 x pi x r³. So r = [3 x (V/4 x pi)]^1/3. For your example, that would be 6.59 m.
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QuestionHow do I find the height of a sphere?DonaganTop AnswererThe height is the diameter. The diameter is twice the radius. The radius is the cube root of the following quantity: 3 times the volume divided by 4π.
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QuestionWhen I calculate the volume of a sphere, what is it I am exactly determining?DonaganTop AnswererThe amount of space within the sphere's surface; for example, the amount of air inside a basketball.
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QuestionHow do I find the volume of cylinder if the diameter is 5 m and height is 14 cm?DonaganTop AnswererVolume = height multiplied by πr². First change the diameter to cm, and use half of it as the radius.
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QuestionHow many milliliters is needed to fill a bowl halfway when the radius is 21cm?Community AnswerThe "r" in the formula is 21cm so the formula is 4/3*pi*21^3 or 4/3*pi*9261=4/3*29094.2=38792.3, but halfway through the bowl means to divide by 2, so the answer is about 19396.1 ml.
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QuestionWhere do you get the 4/3 from in the formula for a sphere's volume?DonaganTop AnswererThe answer to your question involves integration and is too complicated to describe here. Search online for "derivation of formula for volume of a sphere."
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QuestionHow many gallons in a sphere is 40 in. diameter?DonaganTop AnswererFirst find the volume in cubic inches of a sphere with a 20-inch radius. There are 231 cubic inches in a US gallon, so divide the sphere's volume by 231 to find the equivalent number of gallons.
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QuestionIs there any easier way for a beginner to learn how we calculate the sphere?DonaganTop AnswererSorry, no. That way is easiest.
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QuestionWhat is the volume of a sphere when the diameter is 22? 34?DonaganTop AnswererHalf the diameter is the radius. Plug that number into the volume formula above.
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QuestionFind acute angle of a right-angle triangle measuring 3x4x5?DonaganTop AnswererThe two acute angles in a 3-4-5 triangle are 36.87° and 53.13°. You could round them off to 37° and 53°.
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QuestionWhat if I’m told that the radius is X?DonaganTop AnswererThen the volume will be expressed as (4/3)πx³, and you won't be able to find a specific number for the volume.
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QuestionDiameter of circle is 2m what is area processed?DonaganTop AnswererArea = πr² = π(d/2)² = π(1)² = 3.14 square meters.
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QuestionTank diameter 90cm, height 183 cm, what is the volume?DonaganTop AnswererIf the tank is a cylinder, its volume is πr²h = (3.14)(45)²(183).
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QuestionWhat would the radius be if the volume has to equal 100?DonaganTop AnswererV = 100 = (4/3)πr³. (¾)(100/π) = r³. 23.87 = r³. The radius is the cube-root of 23.87. That's approximately 2.88.
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