Volumes of Cylinders
Geometry
Volume of Cylinders and composite figures
Example 1: Find the volume of the following cylinder.
a) Volume = area of the base (circles) x height (perpendicular distance between bases)
b) area of circle = pr2 = (3.14) (8 in)2 = 201 in2
c) V = (201 in2) (18 in) = 3618 in3
8 in
Example 2: Find the volume of the following cylinder.
a) Acircle = pr2 = (3.14) (5 ft)2 = 15.7 ft2
b) V = (15.7 ft2) (25 ft) = 392.5 ft3
Example 3: The volume of a cylinder is 4622.9 cubic inches and has a radius of 9 inches. What is the height of this cylinder?
a) V = (pr2) h
b) 4622.9 in3 = (3.14) (9 in)2 h
c) h = 4622.9 in3 / (3.14) (81 in2) = 18.2 in
Composite shapes- space figures that are a combination of two or more simpler figures. To find the volume of a composite figure, add (or subtract) the volumes of the simpler figures.
Example 4: find the volume
a) Two pieces: the bottom of the house and the roof
b) bottom: V = l w h = (8 in) (14 in) (9 in) = 1008 in3
c) roof: Atriangle = ½bh = ½ (14 in) (5 in) = 35 in2
Vroof = (35 in2) (9 in) = 315 in3
d) Volumehouse = 1008 in3 + 315 in3 = 1323 in3
You try it:
Example 5: find the volume
Break it into two pieces… the answer is 24000 mm3
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Volume of a Cylinder Formula
Volume= Area of Base • Height
18 in
25 ft
10 ft
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