Today in class we learned about the formulas to solve for the volumes of pyramids, cones, and spheres. These formulas came from sections 12.5 and 12.6 in our book.
In this diagram, we will say the radius is 6 so we can use the formula for the volume of a sphere to find its volume....V=4/3 πr^3...V=4/3(216π)...V=288π
Well, that's about all we learned today in class from 12.5/12.6. Hope it helped. And here's a video and a math problem that helps us learn how to count to 12, which I think is very important to today's lesson.
*12 = http://www.youtube.com/watch?v=3nG1ckY7thw
12.5- Volumes of Pyramids and Cones
Pyramid....
The volume of a pyramid =1/3Bh...where B stands for the area of the base and h stands for height
So, in this picture, let's say the height =8 and the area of the base is 48. To solve for the volume, you use the formula....V=1/3Bh....V=1/3(48)(8).....V=1/3(384)....so V=128
Cones
The formula to find the area of a cone = 1/3Bh which in this case =1/3πr^2h where r stands for radius length and h stnds for height.
In this picture of a cone, let's say the height is 7 and the radius is 3. With this information we can find the volume of the cone using the formula..... V=1/3πr^2h....V= 1/3(9π)(7)...V=1/3(63π)...V=21π
12.6
Volumes of Spheres
The volume of a sphere =4/3 πr^3 where r is the radius.
In this diagram, we will say the radius is 6 so we can use the formula for the volume of a sphere to find its volume....V=4/3 πr^3...V=4/3(216π)...V=288πWell, that's about all we learned today in class from 12.5/12.6. Hope it helped. And here's a video and a math problem that helps us learn how to count to 12, which I think is very important to today's lesson.
*12 = http://www.youtube.com/watch?v=3nG1ckY7thwThanks, Michael
2/9/11
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