Full resolution (JPEG) - On this page / på denna sida - Mensuration - To find the volume of a cylinder - To find the solid contents of a cylinder - To find the area of the curved surface of a cone
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204 MENSURATION.
To Find the Volume of a Cylinder.
Rule.
Multiply area of end by length of cylinder, and the product
is the volume of the cylinder.
Example.
What is the volume of a cylinder 4 inches in diameter and 9
inches long?
Solution
:
Area of end = r2 ir
Volume = r2
W= 2X2X 3.1416 X 9 = 113.0976 cubic inches.
To Find the Solid Contents of a Hollow Cylinder.
Rule.
Find area of end according to outside diameter ; also find
area according to inside diameter ; subtract the last area from
the first and multiply the difference by the length of the
cylinder.
Formula
:
(J?2 2
)tt/
Solid contents^
R = Outside radius.
r = Inside radius.
/ = Length of cylinder.
Example.
Find the solid contents of a hollow cylinder of 6 feet outside
diameter, 4 feet inside diameter and 5 feet long.
Solution
:
Solid contents — x— (3
2 — 22
) X 3.1416 X 5
x — (9 — 4) X 3.1416 X 5
^=5X 3.1416 X 5
x = 78.54 cubic feet.
Fig. 10.
To Find the Area of the Curved
Surface of a Cone.
(See Fig. 10).
Rule.
Multiply the circumference
of the base by the slant height
and divide the product by 2 ; the
quotient is the area of the curved
surface. If the total surface is
wanted, the area of the base is
added to the curved area.
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