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12.5 Volume of Pyramids and Cones. State Standards. Lesson Goals. Find the volume of a pyramid and cone. 8 , 9: Solve problems involving the surface area lateral area of geometric solids and COMMIT TO MEMORY THE NECESSARY FORMULAS. Volume. Cylinder. Cone. Theorems. - PowerPoint PPT Presentation
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12.5 Volume of Pyramids and Cones
State Standards8, 9: Solve problems involving
the surface area lateral area of geometric solids and COMMIT TO MEMORY THE NECESSARY FORMULAS.
Lesson Goals• Find the volume of a
pyramid and cone.
Cylinder Cone
r
r
h h
V Bh ?V
Volume
Theorems
• Volume of a Pyramid or a Cone
B = the area of the base h = the height/altitude of the pyramid or cone
13V Bh
1 1,1523
V
13V Bh
examplesFind the volume of the pyramid.
3384 inV
13
16 4 2 3 102
V
13V Bh
examplesFind the volume of the pyramid.
4 cm
10 cm
13 24 3 10V
3120 cmV
13 36 10V
13V Bh
examples
6 cm
10 cm
3100 ftV
13 25 12V
13V Bh
examples
examplesSolve for the variable using the given information. Round to one decimal place. 1
3V Bh
examplesSolve for the variable using the given information. Round to one decimal place.
13V Bh
213170 8x
2510 8x
263.75 x
Assignment Checkp. 755: 3, 4, 5, 8, 9, 10, 12, 16, 17, 19,
20, 21