Radii of cylinder and sphere is same and height of cylinder is twice of radius then find the ratio of their volumes?
Answers
Answer:
The height of the cylinder is twice that of the radius of the sphere. As we can seem the ratio is 2/3. The surface area of a sphere is also a well-known to anyone who has spent teenage years in math class.
Step-by-step explanation:
The formulas for the volume of a sphere and the volume of a cylinder are well known. The height of the cylinder is twice that of the radius of the sphere.
As we can seem the ratio is 2/3.
The surface area of a sphere is also a well-known to anyone who has spent teenage years in math class.
The surface area of the cylinder can be calculated by adding the area of the two circular end caps to that of the rectangle that wraps around (like the label on a soup can). Again the height is twice the radius.
Noli turbare circulos meos
As you can see, the ratio of the volumes is the same as the ratio of the surface areas, and this constant is 2/3.
I'm convinced that there has to be some fantastically useful consequence of this result, but I can't think of one just at the moment.