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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?
Wiki User
∙ 9y ago
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.
Wiki User
∙ 9y ago
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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 cone and a hemisphere have equal bases and equal volumes find the ratio of their height?
1:2
Cavalieri's Principle states that two solids with equal heights and base areas have equal volumes?
False
How do you find the height of a sphere when you have the radius?
Visual Aid: If you sliced the sphere right in the middle, along the vertical axis (up and down axis), you'd end up with a circle standing on the ground. The "height", or highest point, of the circle of the circle would be equal to it's diameter (d).d = 2r, where r is the radius
What is a shape that has equal number of faces equal number edges and equal number of vertices?
A sphere- there are no faces, edges or vertices
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).
What is the volume of a sphere of of 12 inches diameter 6 inch radius and height of 17?
Your measurements are not those of a sphere. The 12 inches and 6 inches are OK, but if it's a sphere, its height would equal the diameter and be equal to 12 inches. Please repost your question and change either the height or the word, "Sphere".
What is the largest circle that can be drawn around a sphere such as a globe?
That's called a "great circle" of the sphere. -- It's any circle whose center is at the center of the sphere. -- Its diameter is equal to the diameter of the sphere. -- Its area is equal to 1/4 the surface area of the sphere. -- The shortest distance between any two points on the sphere is along the piece of the great circle on which they lie. (There's only one, unless the two points are the opposite ends of a diameter.)
If the diameter of a sphere containing 250 ball closely packed is equal to N times the diameter of a single ball what is the value of N?
The diameter is 48 inches.
Which container will hold more A can that has a diameter of 4 inches and a height of 4.5 inches or a can that has a diameter of 3 inches and a height of 8 inches?
Their volumes are equal.
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 finding perimeter of sphere?
A sphere does not have a perimeter. It can have a diameter a circumference or a surface area (or volume but that isn't discussed here.The diameter of a sphere is two times the radius (r): so the formula would be2r...or...2 x rThe circumference (C) of a sphere is equal to 6.2832 times the Radius, where 6.2832 is twice Pi (): so the formula would beC = 2r...or...C = 2 x x rThe area of a sphere is equal to the Square of the Radius of the sphere multiplied by 12.566 (4 times ): so the formula would be4 * * R * R
What is the diameter of 45 m?
A 45-meter object has a diameter of 45 meters. The diameter is the distance across the widest point of a circle or sphere, equal to the specified length of 45 meters in this example.
How do you prove that the volume of a sphere is equal to the volume of a cone?
The volume of a cone is 1/3(h)(pi)(r2), where h is the height of the cone, pi is 3.1415 and r is the radius of the circle that forms the bottom. The volume of sphere is 4/3(pi)(r2) where pi is 3.1415 and r is the radius of the sphere. The (r2) means radius squared. If you put in the values of r for each and the value of h for the cone and solve the two equations, and the answers are the same, the volumes are the same. We can set the expression for the volume of a cone equal to the expression for the volume of a sphere. If, when we plug in the variables, they are equal, the volumes will be equal. Vcone = Vsphere 1/3 (h) (pi) (rc2) = 4/3 (pi) (rs2)
The surface area for a sphere is four times the product of pie and the square of the radius?
You are correct my friend! Surface Area of a Sphere is indeed = 4(pi)r^2 and that is also equal to Circumference times Diameter!
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.
How many earths would it take to equal the diameter of earth?
Jupiter's diameter = 11.21 x Earths (142,984km). That does not sound much, but we are just talking about one dimension here. If the volumes are compared, the size difference in the one dimension is cubed, giving Jupiters volume around 1400 times the volume of earth (actually nearer to 1320 time Earths volume due to Jupiter being a `squashed sphere`).
