SECTION 9.3VOLUME OF A CYLINDER
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REVIEW: AREA OF A CIRCLE:
To find the area of a circle, cut it into 8 equal pieces
Put the pieces together to create a parallelogram
The length of the top is equal to half the perimeter
The height is equal to the radius of the circle
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REVIEW: VOLUMES OF RECTANGULAR PRISMS
All sides and edges ina cube are equal
The volume of a prism is thearea of the base multiplied bythe height
Area ofthe base
Height(# of bases)
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VOLUME OF A CYLINDER
The volume of a prism is equal to the area of the basemultiplied by the height
Since a cylinder is a prism, multiply the area of the base(circle) by the height of the cylinder
Area ofthe circle
Height of thecylinder
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PRACTICE: FIND THE VOLUME OF THE FOLLOWING CYLINDERS
The diameter of the circle is16cm, so the radius is 8cm
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Ex: Jason lives in an expensive mansion with a pool in thebackyard. The pool is in the shape of a semi-cylinder.What is the volume of the pool?
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The pool is in theshape of a cylinder
The volume is half acylinder
The radius is 4mand the height is 12m
CHALLENGE: FIND THE VOLUME OF THE FOLLOWING SOLID
There are 3 different cylindersin this solid
To find the volume of this solid,get all three volumes and thenadd them up
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HOMEWORK:
P265 #5, 7-12 , 14, 16, 17