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

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  • Question
    How do I calculate the volume of a sphere if neither the radius nor the diameter is given?
    Donagan
    Top Answerer
    If 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.
  • Question
    Why is the formula not V = pi x R squared x H?
    Diante Watts
    Community Answer
    Height 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.
  • Question
    How can I tell the volume with only the diameter given?
    Community Answer
    Divide the diameter by 2, giving you the radius and continue from there.
  • Question
    How do I find the volume with only the circumference given?
    Community Answer
    Use 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).
  • Question
    What is the volume of a sphere if the radius is 6?
    Smile Happy
    Community Answer
    Use 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.
  • Question
    How can I find the surface area of a cylinder?
    Community Answer
    A 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.
  • Question
    How do I find the diameter with only the volume given?
    Donagan
    Top Answerer
    Use the volume formula to solve for the radius, then double the radius.
  • Question
    I need to know the volume of a cylindrical water tank with ellipsoidal bases.
    Community Answer
    V=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.
  • Question
    Between a sphere 32 mm diameter and a sphere 18 mm diameter, what is percentage difference?
    Donagan
    Top Answerer
    If 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.
  • Question
    If one sphere is 1000 times larger in diameter than another, how many times larger is its volume?
    Donagan
    Top Answerer
    One billion times larger. 1,000 cubed is 1,000,000,000.
  • Question
    If 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?
    Donagan
    Top Answerer
    Theoretically 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.
  • Question
    How would I multiply 4/3 by pi or the radius?
    Donagan
    Top Answerer
    4/3 πr³ means to multiply 4 by π (3.14), then multiply by the cube of the radius, then divide by 3.
  • Question
    What radius is needed to have a sphere hold 30 ml of water?
    Donagan
    Top Answerer
    Take the volume formula, set it equal to 30 ml, and solve for r.
  • Question
    How do I find the volume of half a sphere?
    Etreithegrand
    Community Answer
    Simply 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)
  • Question
    What is the volume of earth in cubic miles?
    Donagan
    Top Answerer
    Using an average radius of 3,960 miles, the volume of the Earth is approximately 2.6 x 10^11 cubic miles.
  • Question
    What will be the answer if the radius is 8 cm?
    Tom De Backer
    Top Answerer
    The 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.
  • Question
    How do I find the radius of a spherical tank of 1200 cubed meters?
    Tom De Backer
    Top Answerer
    You 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.
  • Question
    How do I find the height of a sphere?
    Donagan
    Top Answerer
    The 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.
  • Question
    When I calculate the volume of a sphere, what is it I am exactly determining?
    Donagan
    Top Answerer
    The amount of space within the sphere's surface; for example, the amount of air inside a basketball.
  • Question
    How do I find the volume of cylinder if the diameter is 5 m and height is 14 cm?
    Donagan
    Top Answerer
    Volume = height multiplied by πr². First change the diameter to cm, and use half of it as the radius.
  • Question
    How many milliliters is needed to fill a bowl halfway when the radius is 21cm?
    Community Answer
    The "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.
  • Question
    Where do you get the 4/3 from in the formula for a sphere's volume?
    Donagan
    Top Answerer
    The answer to your question involves integration and is too complicated to describe here. Search online for "derivation of formula for volume of a sphere."
  • Question
    How many gallons in a sphere is 40 in. diameter?
    Donagan
    Top Answerer
    First 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.
  • Question
    Is there any easier way for a beginner to learn how we calculate the sphere?
    Donagan
    Top Answerer
    Sorry, no. That way is easiest.
  • Question
    What is the volume of a sphere when the diameter is 22? 34?
    Donagan
    Top Answerer
    Half the diameter is the radius. Plug that number into the volume formula above.
  • Question
    Find acute angle of a right-angle triangle measuring 3x4x5?
    Donagan
    Top Answerer
    The two acute angles in a 3-4-5 triangle are 36.87° and 53.13°. You could round them off to 37° and 53°.
  • Question
    What if I’m told that the radius is X?
    Donagan
    Top Answerer
    Then the volume will be expressed as (4/3)πx³, and you won't be able to find a specific number for the volume.
  • Question
    Diameter of circle is 2m what is area processed?
    Donagan
    Top Answerer
    Area = πr² = π(d/2)² = π(1)² = 3.14 square meters.
  • Question
    Tank diameter 90cm, height 183 cm, what is the volume?
    Donagan
    Top Answerer
    If the tank is a cylinder, its volume is πr²h = (3.14)(45)²(183).
  • Question
    What would the radius be if the volume has to equal 100?
    Donagan
    Top Answerer
    V = 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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