0
What is the height of a cylinder if it has a base radius of 6 cm and is the same volume as a sphere with a 6 cm radius?
Wiki User
∙ 12y ago
The height of the cylinder is 8 cm.
volume_sphere = 4/3πr3
volume_cylinder = πr2h
As volumes and radii are equal:
πr2h = 4/3πr3
⇒ h = 4/3r
r = 6cm
⇒ h = 4/3 x 6 cm
= 8 cm
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What is the volume of a cylinder with ends that are half spheres with a radius of 4 and has a height of 12?
Each half-sphere occupies a height of 4. Effectively, there is a full sphere of radius 4 and a cylinder of length 4. The volume of the sphere = 4/3πr³ = 4/3π4³ = 268.08 The volume of the cylinder = πr²h = π4² x 4 = 201.06 Total volume = 268.08 + 201.06 = 469.14 (2dp)
What is the volume of a cylinder that has a radius of 3cm and a height of 7cm?
The volume of a cylinder that has a radius of 3cm and a height of 7cm is 197.92cm3
How do you find the height and radius of cylinder with only the volume?
The volume of a cylinder is (pi)r^2h. This means the volume is dependent on both the height and the radius of the cylinder. So, one must know Volume and either radius or height to calculate height or radius respectively.
What is the volume of a cylinder if its height is 1 and radius is 2.45?
The volume of a cylinder with a height of 1 and a radius of 2.45 is: 18.86 units3
What is the radius of a cylinder that has a volume of 350cm and a height of 10cm?
The radius of a cylinder that has a volume of 350cm and a height of 10cm is: 3.34 cm
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 circular cylinder whose height is 40m and whose radius is 20m Find the volume of a sphere whose radius is 20m?
the cylinder is approximately 50240 m3 the sphere is approximately 33493 and 1/3 m3
The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be?
The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be increased.
What dimensions do you need for a cylinder to have the same volume as a sphere with a radius of 7?
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)
What is the volume of a cylinder with ends that are half spheres with a radius of 4 and has a height of 12?
Each half-sphere occupies a height of 4. Effectively, there is a full sphere of radius 4 and a cylinder of length 4. The volume of the sphere = 4/3πr³ = 4/3π4³ = 268.08 The volume of the cylinder = πr²h = π4² x 4 = 201.06 Total volume = 268.08 + 201.06 = 469.14 (2dp)
How do you find the height of a sphere when you have the volume 1232 and radius 7?
If the radius is 7 and the volume is 1232 the shape cannot be a sphere so you cannot find the height of a sphere when the shape is not a sphere!
What is volume cylinder of radius 4cm and height 2cm?
A cylinder with a radius of 4cm and a height of 2cm has a volume of 100.53cm3
What is the volume of a cylinder that has a radius of 3cm and a height of 7cm?
The volume of a cylinder that has a radius of 3cm and a height of 7cm is 197.92cm3
How do you find the height and radius of cylinder with only the volume?
The volume of a cylinder is (pi)r^2h. This means the volume is dependent on both the height and the radius of the cylinder. So, one must know Volume and either radius or height to calculate height or radius respectively.
Calculate volume of a sphere with a radius of 5 and a height of 1?
A sphere with a radius of 5 has a volume of: 523.6 cubic units.
What is the height of a cylinder with a radius of 7 and a volume of 150?
The height of a cylinder with a radius of 7 and a volume of 150 is: 0.9744 units.
What is the volume of a cylinder that has a radius of 6 and a height of 8?
The volume of a cylinder that has a radius of 6 and a height of 8 is: 226.2 units3
