Q: What is the volume of a circular cylinder whose height is 40m and whose radius is 20m Find the volume of a sphere whose radius is 20m?

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volume of a regular right circular cylinder is V=pi(r2)h since the radius is (a) then the height of the circular cylinder would be (2a) so the volume of the largest possible right circular cylinder is... V=2(pi)(r2)(a) with (pi) being 3.14159 with (r) being the radius of the circle on the top and bottom of the cylinder with (a) being the radius of the sphere

A cylinder with base radius r and height 2r. This cylinder circumscribes a sphere of radius r.

Let the radius of the largest sphere that can be carved out of the cube be r cm.The largest sphere which can be carved out of a cube touches all the faces of the cube.∴ Diameter of the largest sphere = Edge of the cube⇒ 2r = 7 cm∴ Volume of the largest sphere

C = 2(pi) r circumference of a sphere = 2*pi*radius or pi*diameter (Any circular circumference is the same for a perfect sphere.)

Volume of a Cube Length x Breadth x Height Volume of a Triangular Prism (Length x Breadth x Height) divided by 2 Volume of a Square Pyramid (Length x Breadth x Height) divided by 3 Volume of a Cylinder (Pi x Radius x Radius x Length) Volume of a Cone (Pi x Radius x Radius x Height) divided by 3 Volume of a Sphere (Pi x Radius x Radius x Radius x 4) divided by 3 -----=-----=-----=-----=-----=-----=-----=-----=-----=-----=-----= By Austin From Covenant Christian School

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volume of a regular right circular cylinder is V=pi(r2)h since the radius is (a) then the height of the circular cylinder would be (2a) so the volume of the largest possible right circular cylinder is... V=2(pi)(r2)(a) with (pi) being 3.14159 with (r) being the radius of the circle on the top and bottom of the cylinder with (a) being the radius of the sphere

A cylinder with base radius r and height 2r. This cylinder circumscribes a sphere of radius r.

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.

No, the volume formula is not universal for all figures. Different shapes and objects have different formulas to calculate their volume based on their unique dimensions and properties. Each shape requires its own specific formula to accurately determine its volume.

Let the radius of the largest sphere that can be carved out of the cube be r cm.The largest sphere which can be carved out of a cube touches all the faces of the cube.∴ Diameter of the largest sphere = Edge of the cube⇒ 2r = 7 cm∴ Volume of the largest sphere

Volume sphere = 4/3 πr³ = 4/3 π 7³ = 1372π/3 Volume cylinder = πr²h = 1372π/3 → r²h = 1372/3 So as long as the radius of the cylinder is related to its height by: radius = √(1372 / (3×height)) or height = 1372 / (3×radius²) You can have a cylinder of almost any size you want. Example sizes: radius 1, height 1372/3 radius 7, height 28/3 height 7, radius 14/√3 height 28/3, radius 7 height 49, radius √(28/3)

the cylinder

The radius of a sphere is 1/2 of its height.

If the radius of the hemispheres is 4, then that leave 4 units for the length if the straight part of the cylinder. Total surface area = surface area of 1/2 sphere of radius 4 + lateral surface area of cylinder of radius 4 and height 4 + surface area of 1/2 sphere of radius 4. = surface area of sphere of radius 4 + lateral surface area of cylinder of radius 4 = 4*3*pi*43 + pi*42*4 = 469.1 cubic units.

No, a cylinder is.

It depends on what r is and on what information you have. Even if r is a radius of a circular shape, you would have different formulae depending on whether: it is a sphere and you have the volume, it is a sphere and you have the surface area, it is a circle and you have the area, it is a circle and you have the circumference, it is a circle and you have the length and angle of an arc, it is a cone and you have volume and height, it is a cylinder and you have volume and height etc.

A cylinder