space
Volume of Pyramid/Cone
Thanks for coming on the blog. Yesterday I was trying to figure out the volume of a sphere without the use of calculus. I observed many things which I would not like to share right now cos its too long. The really interesting thing I observed were the pyramids. to be honest They weren't pyramid but a shape you would get around the corners if you if you put a sphere in a cube (my actual method didnt use cubes but used cylinders for finding the v sphere. only have i used cubes for the v cone). Here's how I derived the same formula for volume of a pyramid, which is lbh/3. A cube can be cut into 6 pieces of equal volume V from the centre. Here's a image I got from google images. Also V = 1/6 A^3 where A is the side length of the cube Now the slant part of a pyramid is straight also it can be reasoned that the volume of a pyramid is dependent upon A^2 (base area) and A (height) which means that V = 1/6*A^2*A V = 1/6*A^2*2H since A = 2H V = 1/3*A^2*H V = 1/3*L*B*H
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