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The volume of a sphere is 4/3 (pi) r3
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A sphere has an unknown radius and a volume equal to 30 units squared what is the volume of the sphere twice the radius?
A sphere's volume is measured in cubic units, not square units.
Suppose the sphere below with radius r has a volume equal to 45 units3 Find the volume of the sphere with twice the radius?
360 units cubed
Is the volume of a sphere with a radius of r inches always equal to the volume of a cylinder with a radius of r inches?
No, it rarely is.
What is the process used by Archimedes to determine the volume of a sphere with equal weights?
THE Method of Equilibrium
Formula to calculate the volume of a regular cylinder?
Volume = {pi}r2h where r = radius of base, h = height of cylinder.
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 formula for radius of sphere?
The radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).
A sphere has an unknown radius and a volume equal to 30 units squared what is the volume of the sphere twice the radius?
A sphere's volume is measured in cubic units, not square units.
Find the volume of a sphere?
The formula for the volume of a sphere is based on the radius of the sphere. It is equal to 4/3 multiplied by pi, multiplied by the radius cubed.
Suppose the sphere below with radius r has a volume equal to 50 units3 Find the volume of the sphere with twice the radius?
A sphere with a volume of 50 units3 has a radius of 2.29 units. A sphere with twice the radius (4.58 units) has a volume of 402 units3.
How can you get the volume of a sphere?
volume is equal to four thirds pie times the radius cubed.
Suppose the sphere below with radius r has a volume equal to 45 units3 Find the volume of the sphere with twice the radius?
360 units cubed
Is the volume of a sphere with a radius of r inches always equal to the volume of a cylinder with a radius of r inches?
No, it rarely is.
What is the process used by Archimedes to determine the volume of a sphere with equal weights?
THE Method of Equilibrium
How do you work out the volume of a sphere simple?
The formula for the volume of a sphere is 4/3 πr3, where r is the radius of the sphere. For example, for a sphere with radius 2cm, the volume is (23 x π) x 4/3 - which is equal to 10 2/3 x π, or, to two decimal places, 33.51cm2.
How does the volume of the cube compare to the volume of the ball?
The volume of a cube is L3. The volume of a sphere is 4/3 π r3 . If L=2r, Vcube=8r3. Comparing the volume of the cube with a side 2r and a sphere with a diameter of 2r where the r's are equal gives us: Vcube/Vsphere= (8r3)/(4/3 π r3 ) or (8x3)/(πx4) As π roughly equals 3 the equation simplifies to: Vcube/Vsphere=2 or a cube with its side equal to the diameter of a sphere has a volume approximately twice that of the sphere.
What is the ratio of the volumes of a sphere and a cone with the base diameter and the altitude of the cone equal to the diameter of the sphere?
The ratio is given as the sphere volume divided by the volume of the cone. The volume of a sphere that satisfies these conditions is 4/3 x pi x r cubed, and the volume for the cone is 2/3 x pi x r cubed, where r is the radius and pi is equal to 3.14. Dividing these two volumes, you find the resulting ratio is 2.
