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You need just two measurements: the diameter of the base and it's height, but the calculus is more involved than most of the other simple bodies. The surface area of a cone is one of the most complicated and it is where the need for a calculator becomes more apparent. The surface area formula for a cone, given its diameter (or radius) and height is π x (diameter / 2) 2 + π x (diameter / 2) x √ ((diameter / 2) 2 + (height 2)), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius 2 + π x radius x √ (radius 2 + (height 2)), as seen in the figure below: To find the SA simply multiply 4 times 3.14159 times the radius square. π is, of course, the well-known mathematical constant, about equal to 3.14159. Visual on the figure below:Ī sphere's surface area can be calculated just by knowing its diameter, or radius (diameter = 2 x radius). The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2. to find the surface area of a cube with a side of 3 inches is to multiply 3 x 6 = 18 square inches. side 2 is the surface of one of the sides, and since the cube has 6 equal sides, multiplying by 6 gives us the total cube surface area. This calculation requires only one measurement, due to the symmetricity of the cube. Free online calculators for area, volume and surface area. The surface area formula for a cube is 6 x side 2, as seen in the figure below: Calculator online on how to calculate volume of capsule, cone, conical frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, triangular prism and sphere. The result from our surface area calculator will always be a square of the same unit: square feet, square inches, square meters, square cm, square mm. In all surface area calculations, make sure that all lengths are measured in the same unit, e.g. What happens when you take three men in their thirties and turn them loose together. Enter existing fluid height in inches to calculate existing fluid volume.
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For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 4.1866 x 1000 4188.79 ft 3 (cubic feet). Dividing by 231, which is the number of cubic inches in a gallon, will tell you exactly how many gallons your tank will hold when filled to capacity.
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Press the ÷ button, then enter 231 and hit a second time. Below are the formulas for calculating surface area of the most common body types. Enter height in inches, width in inches, and length in inches for total fluid volume. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. Divide the tanks volume in cubic inches by 231 to convert to gallons. How to calculate the surface area of a body?ĭepending on the type of body, there are different formulas and different required information you need to calculate surface area (a.k.a. How to calculate the surface area of a body?.