0
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Ezra
BeauAdd your answer:
Earn +20 pts
How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
What is the volume of a cylinder with a radius equal to 4.4 meters and height equal to 67.8 meters?
Volume = pi*4.42*67.8 = 4123.67965 cubic meters
What does 40 vol developer plus 30 volume developer msake?
Equal parts of 30 volume + 40 volume developers= 35 Volume Developer.
Why might the volume of one object differ from the sum of the volumes of its parts and the volume of another object equal the sum of the volumes of its parts?
the volume of its parts would be equal to the amount off butts an object gives off
What is the formula for volume in a hemisphere?
The volume of a hemisphere is equal to two thirds times pi times the radius cubed.
