Full resolution (JPEG) - On this page / på denna sida - Mensuration - To find the volume of a sphere - To compute the diameter of a sphere when the volume is known - To compute the circumference of an ellipse - To compute the area of an ellipse
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208 MENSURATION.
To Find the Volume of a Sphere.
Rule.
Multiply the cube of the diameter by 3.1416, divide the
product by 6 and the quotient is the volume of the sphere. Or,
another rule is : Multiply the cube of the diameter by 0.5236 and
the product is the volume of the sphere.
Example.
Find the volume of a sphere 15’’ diameter.
Solution
:
0.5236 X 15 X 15 X 15 = 1767.15 cubic inches.
A sphere twice as large in diameter as another has twice the
circumference, four times the surface, eight times the volume,
and if of the same material will weigh eight times as much.
To Compute the Diameter of a Sphere when the Volume
is Known.
Rule.
Divide the volume by 0.5236 and the cube root of the
quotient is the diameter of the sphere.
To Compute the Circumference of an Ellipse.
Rule.
Add the square of the largest diameter to the square of the
smallest diameter and divide the sum by 2 ; multiply the square
root of the quotient by 3.1416.
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