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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.
What does gallon mean in math terms?
Gallon is a measure of volume, equal to 3.785 liters.Gallon is a measure of volume, equal to 3.785 liters.Gallon is a measure of volume, equal to 3.785 liters.Gallon is a measure of volume, equal to 3.785 liters.
What is equal to the volume of water an object displaces?
The volume of water an object displaces is equal to the volume of the object itself, as stated by Archimedes' principle. This principle explains that the volume of fluid displaced by an object immersed in a fluid is equal to the volume of the object.
How do you figure cubic feet of volume in a cone?
The volume of a cone is exactly equal to one third the volume of a cylinder of equal height and radius. The volume of a cylinder is equal to πr2h, so the volume of a cone is πr2h/3
What is the volume of water equal to 38cm3?
The volume of water equal to 38cm3 is 38ml. 1cm3 is equivalent to 1ml in volume.
What does volume equal in math?
Volume of a prism is equal to the cross-sectional area multiplied by the height.
Can you make 15 volume developer using 30 volume and 40 volume?
NO. If you mix them in equal parts, that would give you 35 volume. To get 15 volume, mix equal parts of 10 and 20 volume.
When body is immersed in water then water equal to the volume explain this?
The water displaced by the body is equal to its volume.
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 densities of volume?
Density is equal to mass per volume.
What does lxwxh equal?
The volume.
What in the volume of water is equal to the volume of the object?
The volume of water displaced by an object when submerged in a fluid is equal to the volume of the object itself, according to Archimedes' principle. This principle states that the buoyant force acting on an object is equal to the weight of the fluid that the object displaces.
When can volume fraction be equal to mole fraction?
The volume fraction of a substance is equal to the mole fraction for ideal gas mixture
